What are the common multiples of 84 and 96?

Common multiples of 84 and 96 are numbers that both 84 and 96 can be divided into evenly with no remainder.

To find the common multiples of 84 and 96, we compare the list of multiples of 84 with the list of multiples of 96 to see what they have in common.

To create a list of multiples of 84, we multiply 84 by 1, 84 by 2, and so on like this:

84 x 1 = 84
84 x 2 = 168
84 x 3 = 252
84 x 4 = 336
...

Similarly, to create a list of multiples of 96, we multiply 96 by 1, 96 by 2, and so on like this:

96 x 1 = 96
96 x 2 = 192
96 x 3 = 288
96 x 4 = 384
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 84 and 96?"

672, 1344, 2016, 2688, etc.

Since 672 is the first number they have in common, 672 is the least common multiple of 84 and 96.

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 672 (the least common multiple), so you can continue the green list above with more common multiples of 84 and 96 by simply adding 672 to the last number on the list.

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What are the common multiples of 84 and 97?
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