What are the common multiples of 9 and 53?

Common multiples of 9 and 53 are numbers that both 9 and 53 can be divided into evenly with no remainder.

To find the common multiples of 9 and 53, we compare the list of multiples of 9 with the list of multiples of 53 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 53, we multiply 53 by 1, 53 by 2, and so on like this:

53 x 1 = 53
53 x 2 = 106
53 x 3 = 159
53 x 4 = 212
...

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 53?"

477, 954, 1431, 1908, etc.

Since 477 is the first number they have in common, 477 is the least common multiple of 9 and 53.

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 477 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 53 by simply adding 477 to the last number on the list.

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What are the common multiples of 9 and 54?
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