What are the common multiples of 53 and 77?

Common multiples of 53 and 77 are numbers that both 53 and 77 can be divided into evenly with no remainder.

To find the common multiples of 53 and 77, we compare the list of multiples of 53 with the list of multiples of 77 to see what they have in common.

To create a list of multiples of 53, we multiply 53 by 1, 53 by 2, and so on like this:

53 x 1 = 53
53 x 2 = 106
53 x 3 = 159
53 x 4 = 212
...

Similarly, to create a list of multiples of 77, we multiply 77 by 1, 77 by 2, and so on like this:

77 x 1 = 77
77 x 2 = 154
77 x 3 = 231
77 x 4 = 308
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 53 and 77?"

4081, 8162, 12243, 16324, etc.

Since 4081 is the first number they have in common, 4081 is the least common multiple of 53 and 77.

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 4081 (the least common multiple), so you can continue the green list above with more common multiples of 53 and 77 by simply adding 4081 to the last number on the list.

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