What are the common multiples of 38 and 5?
Common multiples of 38 and 5 are numbers that both 38 and 5 can be divided into evenly with no remainder.
To find the common multiples of 38 and 5, we compare the list of multiples of 38 with the list of multiples of 5 to see what they have in common.
To create a list of multiples of 38, we multiply 38 by 1, 38 by 2, and so on like this:
38 x 1 = 38
38 x 2 = 76
38 x 3 = 114
38 x 4 = 152
...
Similarly, to create a list of multiples of 5, we multiply 5 by 1, 5 by 2, and so on like this:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 38 and 5?"
190, 380, 570, 760, etc.
Since 190 is the first number they have in common, 190 is the least common multiple of 38 and 5.
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 190 (the least common multiple), so you can continue the green list above with more common multiples of 38 and 5 by simply adding 190 to the last number on the list.
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