What are the common multiples of 42 and 67?

Common multiples of 42 and 67 are numbers that both 42 and 67 can be divided into evenly with no remainder.

To find the common multiples of 42 and 67, we compare the list of multiples of 42 with the list of multiples of 67 to see what they have in common.

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
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 42 and 67?"

2814, 5628, 8442, 11256, etc.

Since 2814 is the first number they have in common, 2814 is the least common multiple of 42 and 67.

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 2814 (the least common multiple), so you can continue the green list above with more common multiples of 42 and 67 by simply adding 2814 to the last number on the list.

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What are the common multiples of 42 and 68?
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