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Prime factorization.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Check it.
30 x 42 = 1260
210 x 6 = 1260
It checks.

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Q: What is an easy way to find the HCF and LCM?
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What is the GCF of 52 and 116?

normally known as HCF by the way. 4 is my answer.


What is the LCM of 2 and 4 and 5 and 6?

easiest way take 6 and go through its multiples until you find a number that is divisible by all four numbers, 6,12,18 etc in this case 60 is the answer


How do you find the LCM and HCF of a set of numbers?

A Factor Is A Number That Divides Into Another Number Exactly. E.g. The Factors Of 12 Are 1, 2, 3, 4, 6 And 12.If You Were Trying To Find The Highest Common Factor You Write Out The Factors Of All Numbers. E.g. 20 And 30.Factors Of 20: 1, 2, 4, 5, 10 And 20.Factors Of 30: 1, 2, 3, 5, 6, 10, 15 And 30.So The Highest Common Factor Of 20 And 30 Is 10 Because It Is The Highest Factor That Appears In Both Factor Lists.It Is The Same For The LCM Except You Write Out The Multiples Of The numbers Instead. E.g. 5 And 6.Multiples Of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, And 50.Multiples Of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54 And 60.So The Lowest Common Multiple Is 30. It Appears In Both Lists And Is The Lowest.An easy way to find the HCF of a pair of numbers is listing out the prime factors. A way to do that is to use a factor tree. Find the common prime factors and multiply them together. e.g. if the prime factors were (2,2,3,3,3,5) and (2,3,3,5,5,7) then you would multiply 2,3,3 and 5.


How do you find the LCM of a number using a list?

You can only find the LCM of two or more numbers. One way to do this is by listing the multiples of each number until you reach a number that appears on both lists. Example 30 and 42 30, 60, 90, 120, 150, 180, 210 42, 84, 126, 168, 210 210 is the LCM of 30 and 42


How do you use the ladder meathod to find the GCF and the LCM of a number?

You don't find the GCF and LCM of a single number, you need at least two. Ladders, trees, fireworks, rainbows... It's all the same thing, just different ways of writing the factors on the page. Find a way that works for you. To find the GCF and LCM of 30 and 42, you need to factor them. 30 42 15,2 21,2 5,3,2 7,3,2 2 x 3 x 5 = 30 and 2 x 3 x 7 = 42 To find the GCF, select the common factors. 2 x 3 = 6, the GCF. To find the LCM, combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM