What are the common multiples of 9 and 56?

Common multiples of 9 and 56 are numbers that both 9 and 56 can be divided into evenly with no remainder.

To find the common multiples of 9 and 56, we compare the list of multiples of 9 with the list of multiples of 56 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 56, we multiply 56 by 1, 56 by 2, and so on like this:

56 x 1 = 56
56 x 2 = 112
56 x 3 = 168
56 x 4 = 224
...

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 56?"

504, 1008, 1512, 2016, etc.

Since 504 is the first number they have in common, 504 is the least common multiple of 9 and 56.

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 504 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 56 by simply adding 504 to the last number on the list.

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What are the common multiples of 9 and 57?
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