What are the common multiples of 9 and 54?

Common multiples of 9 and 54 are numbers that both 9 and 54 can be divided into evenly with no remainder.

To find the common multiples of 9 and 54, we compare the list of multiples of 9 with the list of multiples of 54 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 54, we multiply 54 by 1, 54 by 2, and so on like this:

54 x 1 = 54
54 x 2 = 108
54 x 3 = 162
54 x 4 = 216
...

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 54?"

54, 108, 162, 216, etc.

Since 54 is the first number they have in common, 54 is the least common multiple of 9 and 54.

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 54 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 54 by simply adding 54 to the last number on the list.

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What are the common multiples of 9 and 55?
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