What are the common multiples of 12 and 52?

Common multiples of 12 and 52 are numbers that both 12 and 52 can be divided into evenly with no remainder.

To find the common multiples of 12 and 52, we compare the list of multiples of 12 with the list of multiples of 52 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 52, we multiply 52 by 1, 52 by 2, and so on like this:

52 x 1 = 52
52 x 2 = 104
52 x 3 = 156
52 x 4 = 208
...

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 52?"

156, 312, 468, 624, etc.

Since 156 is the first number they have in common, 156 is the least common multiple of 12 and 52.

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 156 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 52 by simply adding 156 to the last number on the list.

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What are the common multiples of 12 and 53?
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