What are the common multiples of 43 and 78?

Common multiples of 43 and 78 are numbers that both 43 and 78 can be divided into evenly with no remainder.

To find the common multiples of 43 and 78, we compare the list of multiples of 43 with the list of multiples of 78 to see what they have in common.

To create a list of multiples of 43, we multiply 43 by 1, 43 by 2, and so on like this:

43 x 1 = 43
43 x 2 = 86
43 x 3 = 129
43 x 4 = 172
...

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 43 and 78?"

3354, 6708, 10062, 13416, etc.

Since 3354 is the first number they have in common, 3354 is the least common multiple of 43 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 3354 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 78 by simply adding 3354 to the last number on the list.

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What are the common multiples of 43 and 79?
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