What are the common multiples of 9 and 74?

Common multiples of 9 and 74 are numbers that both 9 and 74 can be divided into evenly with no remainder.

To find the common multiples of 9 and 74, we compare the list of multiples of 9 with the list of multiples of 74 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, to create a list of multiples of 74, we multiply 74 by 1, 74 by 2, and so on like this:

74 x 1 = 74
74 x 2 = 148
74 x 3 = 222
74 x 4 = 296
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 74?"

666, 1332, 1998, 2664, etc.

Since 666 is the first number they have in common, 666 is the least common multiple of 9 and 74.

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 666 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 74 by simply adding 666 to the last number on the list.

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