What are the common multiples of 44 and 56?
Common multiples of 44 and 56 are numbers that both 44 and 56 can be divided into evenly with no remainder.
To find the common multiples of 44 and 56, we compare the list of multiples of 44 with the list of multiples of 56 to see what they have in common.
To create a list of multiples of 44, we multiply 44 by 1, 44 by 2, and so on like this:
44 x 1 = 44
44 x 2 = 88
44 x 3 = 132
44 x 4 = 176
...
Similarly, to create a list of multiples of 56, we multiply 56 by 1, 56 by 2, and so on like this:
56 x 1 = 56
56 x 2 = 112
56 x 3 = 168
56 x 4 = 224
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 44 and 56?"
616, 1232, 1848, 2464, etc.
Since 616 is the first number they have in common, 616 is the least common multiple of 44 and 56.
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 616 (the least common multiple), so you can continue the green list above with more common multiples of 44 and 56 by simply adding 616 to the last number on the list.
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What are the common multiples of 44 and 57?
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