What are the common multiples of 40 and 75?

Common multiples of 40 and 75 are numbers that both 40 and 75 can be divided into evenly with no remainder.

To find the common multiples of 40 and 75, we compare the list of multiples of 40 with the list of multiples of 75 to see what they have in common.

To create a list of multiples of 40, we multiply 40 by 1, 40 by 2, and so on like this:

40 x 1 = 40
40 x 2 = 80
40 x 3 = 120
40 x 4 = 160
...

Similarly, to create a list of multiples of 75, we multiply 75 by 1, 75 by 2, and so on like this:

75 x 1 = 75
75 x 2 = 150
75 x 3 = 225
75 x 4 = 300
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 40 and 75?"

600, 1200, 1800, 2400, etc.

Since 600 is the first number they have in common, 600 is the least common multiple of 40 and 75.

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 600 (the least common multiple), so you can continue the green list above with more common multiples of 40 and 75 by simply adding 600 to the last number on the list.

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What are the common multiples of 40 and 76?
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