What are the common multiples of 9 and 75?

Common multiples of 9 and 75 are numbers that both 9 and 75 can be divided into evenly with no remainder.

To find the common multiples of 9 and 75, we compare the list of multiples of 9 with the list of multiples of 75 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 75, we multiply 75 by 1, 75 by 2, and so on like this:

75 x 1 = 75
75 x 2 = 150
75 x 3 = 225
75 x 4 = 300
...

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 75?"

225, 450, 675, 900, etc.

Since 225 is the first number they have in common, 225 is the least common multiple of 9 and 75.

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 225 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 75 by simply adding 225 to the last number on the list.

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What are the common multiples of 9 and 76?
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