What are the common multiples of 9 and 57?

Common multiples of 9 and 57 are numbers that both 9 and 57 can be divided into evenly with no remainder.

To find the common multiples of 9 and 57, we compare the list of multiples of 9 with the list of multiples of 57 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 57?"

171, 342, 513, 684, etc.

Since 171 is the first number they have in common, 171 is the least common multiple of 9 and 57.

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 171 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 57 by simply adding 171 to the last number on the list.

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