What are the common multiples of 12 and 37?

Common multiples of 12 and 37 are numbers that both 12 and 37 can be divided into evenly with no remainder.

To find the common multiples of 12 and 37, we compare the list of multiples of 12 with the list of multiples of 37 to see what they have in common.

To create a list of multiples of 12, we multiply 12 by 1, 12 by 2, and so on like this:

12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
...

Similarly, to create a list of multiples of 37, we multiply 37 by 1, 37 by 2, and so on like this:

37 x 1 = 37
37 x 2 = 74
37 x 3 = 111
37 x 4 = 148
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 12 and 37?"

444, 888, 1332, 1776, etc.

Since 444 is the first number they have in common, 444 is the least common multiple of 12 and 37.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 444 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 37 by simply adding 444 to the last number on the list.

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What are the common multiples of 12 and 38?
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