What are the common multiples of 12 and 16?

Common multiples of 12 and 16 are numbers that both 12 and 16 can be divided into evenly with no remainder.

To find the common multiples of 12 and 16, we compare the list of multiples of 12 with the list of multiples of 16 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 16, we multiply 16 by 1, 16 by 2, and so on like this:

16 x 1 = 16
16 x 2 = 32
16 x 3 = 48
16 x 4 = 64
...

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 16?"

48, 96, 144, 192, etc.

Since 48 is the first number they have in common, 48 is the least common multiple of 12 and 16.

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 48 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 16 by simply adding 48 to the last number on the list.

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