What are the common multiples of 49 and 60?

Common multiples of 49 and 60 are numbers that both 49 and 60 can be divided into evenly with no remainder.

To find the common multiples of 49 and 60, we compare the list of multiples of 49 with the list of multiples of 60 to see what they have in common.

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
...

Similarly, to create a list of multiples of 60, we multiply 60 by 1, 60 by 2, and so on like this:

60 x 1 = 60
60 x 2 = 120
60 x 3 = 180
60 x 4 = 240
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 49 and 60?"

2940, 5880, 8820, 11760, etc.

Since 2940 is the first number they have in common, 2940 is the least common multiple of 49 and 60.

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 2940 (the least common multiple), so you can continue the green list above with more common multiples of 49 and 60 by simply adding 2940 to the last number on the list.

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What are the common multiples of 49 and 61?
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