What are the common multiples of 48 and 38?

Common multiples of 48 and 38 are numbers that both 48 and 38 can be divided into evenly with no remainder.

To find the common multiples of 48 and 38, we compare the list of multiples of 48 with the list of multiples of 38 to see what they have in common.

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
...

Similarly, to create a list of multiples of 38, we multiply 38 by 1, 38 by 2, and so on like this:

38 x 1 = 38
38 x 2 = 76
38 x 3 = 114
38 x 4 = 152
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 48 and 38?"

912, 1824, 2736, 3648, etc.

Since 912 is the first number they have in common, 912 is the least common multiple of 48 and 38.

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 912 (the least common multiple), so you can continue the green list above with more common multiples of 48 and 38 by simply adding 912 to the last number on the list.

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What are the common multiples of 48 and 39?
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