What are the common multiples of 9 and 60?

Common multiples of 9 and 60 are numbers that both 9 and 60 can be divided into evenly with no remainder.

To find the common multiples of 9 and 60, we compare the list of multiples of 9 with the list of multiples of 60 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 60, we multiply 60 by 1, 60 by 2, and so on like this:

60 x 1 = 60
60 x 2 = 120
60 x 3 = 180
60 x 4 = 240
...

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 60?"

180, 360, 540, 720, etc.

Since 180 is the first number they have in common, 180 is the least common multiple of 9 and 60.

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 180 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 60 by simply adding 180 to the last number on the list.

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What are the common multiples of 9 and 61?
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