What are the common multiples of 67 and 78?

Common multiples of 67 and 78 are numbers that both 67 and 78 can be divided into evenly with no remainder.

To find the common multiples of 67 and 78, we compare the list of multiples of 67 with the list of multiples of 78 to see what they have in common.

To create a list of multiples of 67, we multiply 67 by 1, 67 by 2, and so on like this:

67 x 1 = 67
67 x 2 = 134
67 x 3 = 201
67 x 4 = 268
...

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 67 and 78?"

5226, 10452, 15678, 20904, etc.

Since 5226 is the first number they have in common, 5226 is the least common multiple of 67 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 5226 (the least common multiple), so you can continue the green list above with more common multiples of 67 and 78 by simply adding 5226 to the last number on the list.

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