What are the common multiples of 97 and 12?

Common multiples of 97 and 12 are numbers that both 97 and 12 can be divided into evenly with no remainder.

To find the common multiples of 97 and 12, we compare the list of multiples of 97 with the list of multiples of 12 to see what they have in common.

To create a list of multiples of 97, we multiply 97 by 1, 97 by 2, and so on like this:

97 x 1 = 97
97 x 2 = 194
97 x 3 = 291
97 x 4 = 388
...

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 97 and 12?"

1164, 2328, 3492, 4656, etc.

Since 1164 is the first number they have in common, 1164 is the least common multiple of 97 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 1164 (the least common multiple), so you can continue the green list above with more common multiples of 97 and 12 by simply adding 1164 to the last number on the list.

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