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Question

LCM of first 100 natural numbers is N. What is the LCM of first 105 natural numbers?

A
5!×N
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B
10,403 N
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C
105N/103
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D
4N
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Solution

The correct option is B 10,403 N
If we look at the numbers 100 < N < 105, we see that only 101 and 103 do not have their factors in N (because these are primes). Therefore, the new LCM will be 101×103×N.

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