What are the common multiples of 9 and 51?

Common multiples of 9 and 51 are numbers that both 9 and 51 can be divided into evenly with no remainder.

To find the common multiples of 9 and 51, we compare the list of multiples of 9 with the list of multiples of 51 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 51, we multiply 51 by 1, 51 by 2, and so on like this:

51 x 1 = 51
51 x 2 = 102
51 x 3 = 153
51 x 4 = 204
...

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 51?"

153, 306, 459, 612, etc.

Since 153 is the first number they have in common, 153 is the least common multiple of 9 and 51.

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 153 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 51 by simply adding 153 to the last number on the list.

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What are the common multiples of 9 and 52?
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