What are the common multiples of 57 and 36?

Common multiples of 57 and 36 are numbers that both 57 and 36 can be divided into evenly with no remainder.

To find the common multiples of 57 and 36, we compare the list of multiples of 57 with the list of multiples of 36 to see what they have in common.

To create a list of multiples of 57, we multiply 57 by 1, 57 by 2, and so on like this:

57 x 1 = 57
57 x 2 = 114
57 x 3 = 171
57 x 4 = 228
...

Similarly, to create a list of multiples of 36, we multiply 36 by 1, 36 by 2, and so on like this:

36 x 1 = 36
36 x 2 = 72
36 x 3 = 108
36 x 4 = 144
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 57 and 36?"

684, 1368, 2052, 2736, etc.

Since 684 is the first number they have in common, 684 is the least common multiple of 57 and 36.

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 684 (the least common multiple), so you can continue the green list above with more common multiples of 57 and 36 by simply adding 684 to the last number on the list.

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What are the common multiples of 57 and 37?
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