What are the common multiples of 9 and 55?

Common multiples of 9 and 55 are numbers that both 9 and 55 can be divided into evenly with no remainder.

To find the common multiples of 9 and 55, we compare the list of multiples of 9 with the list of multiples of 55 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 55, we multiply 55 by 1, 55 by 2, and so on like this:

55 x 1 = 55
55 x 2 = 110
55 x 3 = 165
55 x 4 = 220
...

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 55?"

495, 990, 1485, 1980, etc.

Since 495 is the first number they have in common, 495 is the least common multiple of 9 and 55.

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 495 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 55 by simply adding 495 to the last number on the list.

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What are the common multiples of 9 and 56?
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