What are the common multiples of 78 and 25?

Common multiples of 78 and 25 are numbers that both 78 and 25 can be divided into evenly with no remainder.

To find the common multiples of 78 and 25, we compare the list of multiples of 78 with the list of multiples of 25 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 25, we multiply 25 by 1, 25 by 2, and so on like this:

25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
...

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 25?"

1950, 3900, 5850, 7800, etc.

Since 1950 is the first number they have in common, 1950 is the least common multiple of 78 and 25.

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 1950 (the least common multiple), so you can continue the green list above with more common multiples of 78 and 25 by simply adding 1950 to the last number on the list.

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