What are the common multiples of 66 and 7?

Common multiples of 66 and 7 are numbers that both 66 and 7 can be divided into evenly with no remainder.

To find the common multiples of 66 and 7, we compare the list of multiples of 66 with the list of multiples of 7 to see what they have in common.

To create a list of multiples of 66, we multiply 66 by 1, 66 by 2, and so on like this:

66 x 1 = 66
66 x 2 = 132
66 x 3 = 198
66 x 4 = 264
...

Similarly, to create a list of multiples of 7, we multiply 7 by 1, 7 by 2, and so on like this:

7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
7 x 4 = 28
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 66 and 7?"

462, 924, 1386, 1848, etc.

Since 462 is the first number they have in common, 462 is the least common multiple of 66 and 7.

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 462 (the least common multiple), so you can continue the green list above with more common multiples of 66 and 7 by simply adding 462 to the last number on the list.

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