What are the common multiples of 25 and 44?
Common multiples of 25 and 44 are numbers that both 25 and 44 can be divided into evenly with no remainder.
To find the common multiples of 25 and 44, we compare the list of multiples of 25 with the list of multiples of 44 to see what they have in common.
To create a list of multiples of 25, we multiply 25 by 1, 25 by 2, and so on like this:
25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
...
Similarly, 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
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 25 and 44?"
1100, 2200, 3300, 4400, etc.
Since 1100 is the first number they have in common, 1100 is the least common multiple of 25 and 44.
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 1100 (the least common multiple), so you can continue the green list above with more common multiples of 25 and 44 by simply adding 1100 to the last number on the list.
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What are the common multiples of 25 and 45?
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