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How many positive integers less than or equal to 10,000 are divisible by 2, 5, 10, or 12?

 Feb 14, 2022
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Since the LCM of {2, 5, 10, 12} ==60

 

Then there are: 10,000 / 60 + 1 ==167 integers that are divisible by all four divisors, 2, 5, 10, 12.

 Feb 14, 2022

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