What are the common multiples of 99 and 90?

Common multiples of 99 and 90 are numbers that both 99 and 90 can be divided into evenly with no remainder.

To find the common multiples of 99 and 90, we compare the list of multiples of 99 with the list of multiples of 90 to see what they have in common.

To create a list of multiples of 99, we multiply 99 by 1, 99 by 2, and so on like this:

99 x 1 = 99
99 x 2 = 198
99 x 3 = 297
99 x 4 = 396
...

Similarly, to create a list of multiples of 90, we multiply 90 by 1, 90 by 2, and so on like this:

90 x 1 = 90
90 x 2 = 180
90 x 3 = 270
90 x 4 = 360
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 99 and 90?"

990, 1980, 2970, 3960, etc.

Since 990 is the first number they have in common, 990 is the least common multiple of 99 and 90.

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 990 (the least common multiple), so you can continue the green list above with more common multiples of 99 and 90 by simply adding 990 to the last number on the list.

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What are the common multiples of 99 and 91?
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