What are the common multiples of 99 and 12?

Common multiples of 99 and 12 are numbers that both 99 and 12 can be divided into evenly with no remainder.

To find the common multiples of 99 and 12, we compare the list of multiples of 99 with the list of multiples of 12 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 12, we multiply 12 by 1, 12 by 2, and so on like this:

12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
...

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 12?"

396, 792, 1188, 1584, etc.

Since 396 is the first number they have in common, 396 is the least common multiple of 99 and 12.

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 396 (the least common multiple), so you can continue the green list above with more common multiples of 99 and 12 by simply adding 396 to the last number on the list.

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