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The L.C.M. Of Two Numbers Is 140. If Their Ratio Is 2:5, Then The Numbers Are
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Introduction
Let’s say you have two numbers, and want to know if they are relatively prime. In other words, whether they have no common factors apart from 1. The best way to find out is by using the L.C.M. of the two numbers – this is also known as the least common multiple or smallest common multiple (SCM).
Find out the L.C.M. of the two numbers.
The LCM of two numbers is the lowest common multiple. It’s the smallest number that can be divided by every number in a set of numbers. To find it, you need to find all prime factors for each one and multiply them together.
A common denominator is another way of saying “the least common multiple.” It’s often used when dividing fractions because it makes things simpler and easier for people who aren’t math geniuses like us!
Find out the ratio of the two numbers.
The next step is to find out the ratio of the two numbers. To do this, you will need to compare them.
- First of all, write down both of your numbers in front of you and make sure they’re in their lowest terms (that means no exponents or variables). For example: 70 and 50 are both integers; but 70^2/50^3 isn’t an integer anymore because it has a variable in it (the ^3).
- Now that they’re in their lowest terms, you can compare them by looking at their factors. If one number has more factors than another–like 5 vs 2–then it will have more divisors too! And since we’re looking for a common factor between these two numbers…
If the ratio is 2:5, then the L.C.M. will be 140 and the two numbers will be 70 and 50 respectively.
If the ratio is 2:5, then the L.C.M. will be 140 and the two numbers will be 70 and 50 respectively.
To find out if two numbers are relatively prime, we can use one of several methods. One method involves dividing both sides by their greatest common factor (GCF). If there is no GCF or if it divides evenly into both sides of an equation, then these numbers are considered as relatively prime:
The reason why this method works with any two numbers is because when you divide by a GCF that’s greater than 1, all of your fractions will become smaller (and therefore easier to deal with).
It implies that 70/140 = 2/5 or 70/28 = 2/7 or 70/56 = 1/2 or 70 x 2/7 = 35
The L.C.M. Of Two Numbers Is 140. If Their Ratio Is 2:5, Then The Numbers Are
- In this case, the ratio is 2:5 and so we have 140 as our L.C.M., which means that each number must be less than 140 (or else there would be no way for them to have a product of 140).
- We know that each number cannot be less than 100 (because then their product would also be less than 100), but they can still be greater than 100 (since there are many factors of 100 that add up to 140).
The sum of any two numbers is not necessarily equal to their product so it is possible that they are not equal even though they are relatively prime
The sum of any two numbers is not necessarily equal to their product so it is possible that they are not equal even though they are relatively prime.
The LCM of two numbers is the least common multiple. The product of two numbers is the greatest common divisor (GCD). If you have two numbers which have a GCD, then their LCM will also be their GCF; however, if you have two integers with an LCM and they do not share any common factors, then it may happen that these two integers are not equal although there exists some other integer which divides them both evenly–this means that one integer must be greater than another: for example, the LCM of 20 and 15 is 120; however, since 20 and 15 have no common factors other than 1, it may happen that there exists some integer which divides them both evenly (for example 5) but it is not their GCF.
It is always a good idea to check your work. If you are not sure about the answer, then try another method. In this case, we can check by multiplying the two numbers together and seeing if they give us 140 as well. If they do not then our answer may be wrong.
Answers ( 2 )
There is a lot of confusion about the L.C.M. of two numbers, but you can use this simple trick to solve it in a matter of seconds.
12 and 35
In order to find the L.C.M., you need to look up the prime factorization of each number and then put them together in a ratio.
So, let’s start with 12. The prime factors here are 2 and 3:
2^2 X 3^1 = 12
Now, let’s find 35’s prime factors: 5 and 7:
5^1 X 7^1 = 35
If we put these two numbers together using the same method as before (the “LCM” method), we get 2(3^2) and 5(7^2). This equals 140! So our answer is D!
20 and 70
You are probably wondering if you can use this ratio to find the two numbers. This is a tricky one, but the answer is no. In fact, there’s no way to predict the two numbers from the LCM of 140 and their ratio. It’s possible for them to be any two integers between 1 and 140.
Here’s an example: 20 and 70 have a LCM of 140, so they would work as solutions in our equation (2x + 5y = 140), but they don’t satisfy our conditions—the ratio of 20:70 is 2:5 while our condition requires that it be less than 2:5.
15 and 35
15 and 35 are not a LCM.
The LCM of 15 and 35 is 140, which can be rearranged to get 140 = 2^6 * 5^1.
The ratio of 15:35 is 2:5, so the numbers have a common factor of 2.
You can’t divide by 2 to remove the common factor from two numbers that aren’t the same size!
15 and 25
If you’re having trouble, here’s an easy way to think about it:
The L.C.M. of two numbers is the least amount of them that can be divided into both numbers without any remainder. So, for example, the least number of 15 and 25 that can be divided into both numbers without leaving a remainder is 140.
Now let’s use these rules to work out which numbers have a ratio of 2:5 and an L.C.M of 140:
None of these
You are given that the numbers are not given and no information is provided about them, so it is impossible to determine how many solutions there are. Since we do not know what the two numbers are or their ratio, we don’t know if they’re equal or not. Even if they were equal, their ratio would still be unknown.
For example: Let’s say one of the numbers was 2 and another was 5; then we would want to find out how many ways 2 can be divided into 5 parts (i.e., 2 goes into 5 exactly once). Well, since there’s only one way for this to happen (2 goes into 5 exactly once), there’s only one solution! If you’re confused by this logic, just remember that when a number can be divided evenly by another number without remainder (with no remainder), then those two numbers go into each other an infinite amount of times! This means there will always be more ways than what you think between these terms because some combinations might have been missed! That being said…
Takeaway:
The takeaway is that you should be able to use the L.C.M. formula to find the least common multiple of two numbers, given their ratio and their sum.
For example, if you have a pair of numbers that have a ratio of 2:5 and they add up to 140, then their least common multiple is going to be 40 because it’s the lowest number that can multiply by both 2 and 5 without leaving a remainder.
Conclusion
We can see that the L.C.M. of two numbers is 140 if their ratio is 2:5.
The L.C.M. Of Two Numbers Is 140. If Their Ratio Is 2:5, Then The Numbers Are
Do you remember how to do the long division? Probably not as well as you think you do, but that’s okay—you don’t need to remember it in order to do arithmetic. The same goes for the long chain multiplication (LCM). The LCM of two numbers is 140. In other words, if the ratio of the two numbers is 2:5, then the numbers are 140. So, if we have 3 eggs and we want to find out how many eggs there are in six eggs, we would use this equation: 3 x 6 = 18.
What is the LCM of two numbers?
The L.C.M. (Least Common Multiple) of two numbers is the smallest number that is greater than or equal to both of the numbers and shares a common factor with each of them. If their ratio is :, then the numbers are said to be LCM-equal.
For example, 52 and 18 are LCM-equal because 5 times 2 equals 10 and 1 times 8 equals 9, so these two numbers have a common factor of 5. Similarly, 36 and 12 are also LCM-equal because 3 times 6 equals 12 and 1 times 4 equals 3, so these two numbers also share a common factor of 3.
How to find the LCM of two numbers?
If you want to find the L.C.M. (Least Common Multiple) of two numbers, you can use a calculator or an online tool. The Least Common Multiple is the smallest number that is shared by both numbers.
To find the L.C.M. of two numbers, you first need to find their ratio. This can be done using a calculator or an online tool, such as the Khan Academy Math website . If their ratio is :, then the numbers are a perfect match and the L.C.M. is also .
The LCM of two numbers is 140
The L.C.M. of two numbers is 140. If their ratio is :, then the numbers are equal.
What if the ratio of the two numbers is not 2:5?
What if the ratio of the two numbers is not 2:5? This question can be solved by dividing the larger number by the smaller number.
The LCM of three numbers is 210
The LCM of two numbers is always the smaller number. In this example, we are looking at the L.C.M. of three numbers: 210. If their ratio is 10:5, then the numbers are 10, 5, and 1.
The LCM of four numbers is 260
The L.C.M. of two numbers is 10 if their ratio is: 10
The L.C.M. of four numbers is 260 if their ratio is: 16
The LCM of five numbers is 290
If the ratio of two numbers is 3:5, then their L.C.M. is .
290 = 10 * 3 + 5 * 5 = 45
The LCM
The L.C.M. (Leveraged CapitalManagement) is a mathematical formula that can be used to determine the return on investment for a two-number portfolio. The LCM of two numbers is determined by dividing the sum of the two numbers by their product. If their ratio is :, then the numbers are said to be in LCM.
When calculating the LCM, it’s important to take into account both the starting and ending values of each number in the portfolio. For example, if an investor had $100,000 in a portfolio that started with $50,000 and ended with $150,000, their LCM would be 1:1 because their starting value was equal to their ending value. However, if an investor had $100,000 in a portfolio that started with $50,000 and ended with $200,000 after increasing it by 10%, their LCM would be 0.9:1 because their ending value was greater than their starting value by 9%.
The LCM can help investors determine which investments are likely to provide them with the highest returns over time. By taking into account both starting and ending values within a given timeframe, investors can minimize risk while still maximizing potential gains.