What are the common multiples of 95 and 48?


Common multiples of 95 and 48 are numbers that both 95 and 48 can be divided into evenly with no remainder.

To find the common multiples of 95 and 48, we compare the list of multiples of 95 with the list of multiples of 48 to see what they have in common.

To create a list of multiples of 95, we multiply 95 by 1, 95 by 2, and so on like this:

95 x 1 = 95
95 x 2 = 190
95 x 3 = 285
95 x 4 = 380
...

Similarly, to create a list of multiples of 48, we multiply 48 by 1, 48 by 2, and so on like this:

48 x 1 = 48
48 x 2 = 96
48 x 3 = 144
48 x 4 = 192
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 95 and 48?"

4560, 9120, 13680, 18240, etc.


Since 4560 is the first number they have in common, 4560 is the least common multiple of 95 and 48.

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 4560 (the least common multiple), so you can continue the green list above with more common multiples of 95 and 48 by simply adding 4560 to the last number on the list.

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