What are the common multiples of 9 and 48?

Common multiples of 9 and 48 are numbers that both 9 and 48 can be divided into evenly with no remainder.

To find the common multiples of 9 and 48, we compare the list of multiples of 9 with the list of multiples of 48 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 48, we multiply 48 by 1, 48 by 2, and so on like this:

48 x 1 = 48
48 x 2 = 96
48 x 3 = 144
48 x 4 = 192
...

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 48?"

144, 288, 432, 576, etc.

Since 144 is the first number they have in common, 144 is the least common multiple of 9 and 48.

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 144 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 48 by simply adding 144 to the last number on the list.

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What are the common multiples of 9 and 49?
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