What are the common multiples of 12 and 34?

Common multiples of 12 and 34 are numbers that both 12 and 34 can be divided into evenly with no remainder.

To find the common multiples of 12 and 34, we compare the list of multiples of 12 with the list of multiples of 34 to see what they have in common.

To create a list of multiples of 12, we multiply 12 by 1, 12 by 2, and so on like this:

12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
...

Similarly, to create a list of multiples of 34, we multiply 34 by 1, 34 by 2, and so on like this:

34 x 1 = 34
34 x 2 = 68
34 x 3 = 102
34 x 4 = 136
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 12 and 34?"

204, 408, 612, 816, etc.

Since 204 is the first number they have in common, 204 is the least common multiple of 12 and 34.

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 204 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 34 by simply adding 204 to the last number on the list.

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What are the common multiples of 12 and 35?
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