What are the common multiples of 9 and 49?

Common multiples of 9 and 49 are numbers that both 9 and 49 can be divided into evenly with no remainder.

To find the common multiples of 9 and 49, we compare the list of multiples of 9 with the list of multiples of 49 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 49, we multiply 49 by 1, 49 by 2, and so on like this:

49 x 1 = 49
49 x 2 = 98
49 x 3 = 147
49 x 4 = 196
...

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 49?"

441, 882, 1323, 1764, etc.

Since 441 is the first number they have in common, 441 is the least common multiple of 9 and 49.

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 441 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 49 by simply adding 441 to the last number on the list.

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What are the common multiples of 9 and 50?
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