What are the common multiples of 57 and 86?

Common multiples of 57 and 86 are numbers that both 57 and 86 can be divided into evenly with no remainder.

To find the common multiples of 57 and 86, we compare the list of multiples of 57 with the list of multiples of 86 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 86, we multiply 86 by 1, 86 by 2, and so on like this:

86 x 1 = 86
86 x 2 = 172
86 x 3 = 258
86 x 4 = 344
...

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 86?"

4902, 9804, 14706, 19608, etc.

Since 4902 is the first number they have in common, 4902 is the least common multiple of 57 and 86.

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 4902 (the least common multiple), so you can continue the green list above with more common multiples of 57 and 86 by simply adding 4902 to the last number on the list.

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What are the common multiples of 57 and 87?
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