What are the common multiples of 9 and 52?

Common multiples of 9 and 52 are numbers that both 9 and 52 can be divided into evenly with no remainder.

To find the common multiples of 9 and 52, we compare the list of multiples of 9 with the list of multiples of 52 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 52, we multiply 52 by 1, 52 by 2, and so on like this:

52 x 1 = 52
52 x 2 = 104
52 x 3 = 156
52 x 4 = 208
...

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 52?"

468, 936, 1404, 1872, etc.

Since 468 is the first number they have in common, 468 is the least common multiple of 9 and 52.

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 468 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 52 by simply adding 468 to the last number on the list.

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What are the common multiples of 9 and 53?
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