What are the common multiples of 41 and 1?
Common multiples of 41 and 1 are numbers that both 41 and 1 can be divided into evenly with no remainder.
To find the common multiples of 41 and 1, we compare the list of multiples of 41 with the list of multiples of 1 to see what they have in common.
To create a list of multiples of 41, we multiply 41 by 1, 41 by 2, and so on like this:
41 x 1 = 41
41 x 2 = 82
41 x 3 = 123
41 x 4 = 164
...
Similarly, to create a list of multiples of 1, we multiply 1 by 1, 1 by 2, and so on like this:
1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
1 x 4 = 4
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 41 and 1?"
41, 82, 123, 164, etc.
Since 41 is the first number they have in common, 41 is the least common multiple of 41 and 1.
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 41 (the least common multiple), so you can continue the green list above with more common multiples of 41 and 1 by simply adding 41 to the last number on the list.
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