What are the common multiples of 65 and 78?

Common multiples of 65 and 78 are numbers that both 65 and 78 can be divided into evenly with no remainder.

To find the common multiples of 65 and 78, we compare the list of multiples of 65 with the list of multiples of 78 to see what they have in common.

To create a list of multiples of 65, we multiply 65 by 1, 65 by 2, and so on like this:

65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 65 and 78?"

390, 780, 1170, 1560, etc.

Since 390 is the first number they have in common, 390 is the least common multiple of 65 and 78.

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 390 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 78 by simply adding 390 to the last number on the list.

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