# What is the LCM of 4, 9, 3?

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List the multiples of each number , then pick the smallest common one.

multiples 4:

multiples of 9:

multiples of 3:

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The LCM of 4, 9 and 3 is

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I'm going to show you 2 methods in which you can get the LCM in this explanation. So let's begin!

**Method 1**: Write down multiples of 4, 9 and 3.

4, 8, 12, 16, 20, 24, 28, 32, **36**, 40

9, 18, 27, **36**, 45, 54, 63, 72, 81, 90

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, **36**, 39

If you don't get a common number soon, then write down more multiples. Or you can quit **Method 1** and move onto **Method 2**.

Speaking of **Method 2**, now you're going to learn about it!

**Method 2**: Write down multiples of 9. Just 9. So you're pretty much picking the largest number out of 4, 9 and 3.

9, 18, 27, **36**, 45, 54, 63, 72, 81, 90

Now pick a number out of 3 and 4. Then see if that number goes into any multiple. Tip: Start from the first multiple and move on. I picked 4. Does 4 go into 9? Nope.

Does 4 go into 19? Nope.

Does 4 go into 27? Nope.

Does 4 go into 36? Yes!

Now, does 3 go into 36, too? Yes!

You already know that 9 goes into 36 because it is a multiple of 9! So, the LCM will be

I hope at least one of the methods that I showed you will help you!

My source is my mind, for the methods.

All the best,

Moksha :D

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First, realise that you do not need to consider the

Second: Notice that

Look at the product of the prime factors:

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36

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An easier way to spot the LCM:

As you can see (multiply the red numbers):

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