What are the common multiples of 74 and 48?

Common multiples of 74 and 48 are numbers that both 74 and 48 can be divided into evenly with no remainder.

To find the common multiples of 74 and 48, we compare the list of multiples of 74 with the list of multiples of 48 to see what they have in common.

To create a list of multiples of 74, we multiply 74 by 1, 74 by 2, and so on like this:

74 x 1 = 74
74 x 2 = 148
74 x 3 = 222
74 x 4 = 296
...

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 74 and 48?"

1776, 3552, 5328, 7104, etc.

Since 1776 is the first number they have in common, 1776 is the least common multiple of 74 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 1776 (the least common multiple), so you can continue the green list above with more common multiples of 74 and 48 by simply adding 1776 to the last number on the list.

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What are the common multiples of 74 and 49?
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