What are the common multiples of 54 and 67?

Common multiples of 54 and 67 are numbers that both 54 and 67 can be divided into evenly with no remainder.

To find the common multiples of 54 and 67, we compare the list of multiples of 54 with the list of multiples of 67 to see what they have in common.

To create a list of multiples of 54, we multiply 54 by 1, 54 by 2, and so on like this:

54 x 1 = 54
54 x 2 = 108
54 x 3 = 162
54 x 4 = 216
...

Similarly, to create a list of multiples of 67, we multiply 67 by 1, 67 by 2, and so on like this:

67 x 1 = 67
67 x 2 = 134
67 x 3 = 201
67 x 4 = 268
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 54 and 67?"

3618, 7236, 10854, 14472, etc.

Since 3618 is the first number they have in common, 3618 is the least common multiple of 54 and 67.

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 3618 (the least common multiple), so you can continue the green list above with more common multiples of 54 and 67 by simply adding 3618 to the last number on the list.

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What are the common multiples of 54 and 68?
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