What are the common multiples of 76 and 42?

Common multiples of 76 and 42 are numbers that both 76 and 42 can be divided into evenly with no remainder.

To find the common multiples of 76 and 42, we compare the list of multiples of 76 with the list of multiples of 42 to see what they have in common.

To create a list of multiples of 76, we multiply 76 by 1, 76 by 2, and so on like this:

76 x 1 = 76
76 x 2 = 152
76 x 3 = 228
76 x 4 = 304
...

Similarly, to create a list of multiples of 42, we multiply 42 by 1, 42 by 2, and so on like this:

42 x 1 = 42
42 x 2 = 84
42 x 3 = 126
42 x 4 = 168
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 76 and 42?"

1596, 3192, 4788, 6384, etc.

Since 1596 is the first number they have in common, 1596 is the least common multiple of 76 and 42.

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 1596 (the least common multiple), so you can continue the green list above with more common multiples of 76 and 42 by simply adding 1596 to the last number on the list.

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What are the common multiples of 76 and 43?
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