What are the common multiples of 96 and 49?

Common multiples of 96 and 49 are numbers that both 96 and 49 can be divided into evenly with no remainder.

To find the common multiples of 96 and 49, we compare the list of multiples of 96 with the list of multiples of 49 to see what they have in common.

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
...

Similarly, to create a list of multiples of 49, we multiply 49 by 1, 49 by 2, and so on like this:

49 x 1 = 49
49 x 2 = 98
49 x 3 = 147
49 x 4 = 196
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 96 and 49?"

4704, 9408, 14112, 18816, etc.

Since 4704 is the first number they have in common, 4704 is the least common multiple of 96 and 49.

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 4704 (the least common multiple), so you can continue the green list above with more common multiples of 96 and 49 by simply adding 4704 to the last number on the list.

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