What are the common multiples of 78 and 28?

Common multiples of 78 and 28 are numbers that both 78 and 28 can be divided into evenly with no remainder.

To find the common multiples of 78 and 28, we compare the list of multiples of 78 with the list of multiples of 28 to see what they have in common.

To create a list of multiples of 78, we multiply 78 by 1, 78 by 2, and so on like this:

78 x 1 = 78
78 x 2 = 156
78 x 3 = 234
78 x 4 = 312
...

Similarly, to create a list of multiples of 28, we multiply 28 by 1, 28 by 2, and so on like this:

28 x 1 = 28
28 x 2 = 56
28 x 3 = 84
28 x 4 = 112
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 78 and 28?"

1092, 2184, 3276, 4368, etc.

Since 1092 is the first number they have in common, 1092 is the least common multiple of 78 and 28.

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 1092 (the least common multiple), so you can continue the green list above with more common multiples of 78 and 28 by simply adding 1092 to the last number on the list.

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What are the common multiples of 78 and 29?
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