What are the common multiples of 38 and 79?

Common multiples of 38 and 79 are numbers that both 38 and 79 can be divided into evenly with no remainder.

To find the common multiples of 38 and 79, we compare the list of multiples of 38 with the list of multiples of 79 to see what they have in common.

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
...

Similarly, to create a list of multiples of 79, we multiply 79 by 1, 79 by 2, and so on like this:

79 x 1 = 79
79 x 2 = 158
79 x 3 = 237
79 x 4 = 316
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 38 and 79?"

3002, 6004, 9006, 12008, etc.

Since 3002 is the first number they have in common, 3002 is the least common multiple of 38 and 79.

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 3002 (the least common multiple), so you can continue the green list above with more common multiples of 38 and 79 by simply adding 3002 to the last number on the list.

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What are the common multiples of 38 and 80?
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