What are the common multiples of 96 and 5?


Common multiples of 96 and 5 are numbers that both 96 and 5 can be divided into evenly with no remainder.

To find the common multiples of 96 and 5, we compare the list of multiples of 96 with the list of multiples of 5 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 5, we multiply 5 by 1, 5 by 2, and so on like this:

5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
...

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 5?"

480, 960, 1440, 1920, etc.


Since 480 is the first number they have in common, 480 is the least common multiple of 96 and 5.

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 480 (the least common multiple), so you can continue the green list above with more common multiples of 96 and 5 by simply adding 480 to the last number on the list.

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