What are the common multiples of 65 and 69?
Common multiples of 65 and 69 are numbers that both 65 and 69 can be divided into evenly with no remainder.
To find the common multiples of 65 and 69, we compare the list of multiples of 65 with the list of multiples of 69 to see what they have in common.
To create a list of multiples of 65, we multiply 65 by 1, 65 by 2, and so on like this:
65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...
Similarly, to create a list of multiples of 69, we multiply 69 by 1, 69 by 2, and so on like this:
69 x 1 = 69
69 x 2 = 138
69 x 3 = 207
69 x 4 = 276
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 65 and 69?"
4485, 8970, 13455, 17940, etc.
Since 4485 is the first number they have in common, 4485 is the least common multiple of 65 and 69.
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 4485 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 69 by simply adding 4485 to the last number on the list.
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What are the common multiples of 65 and 70?
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