The LCM of three prime numbers is 4991. Find the greatest number between these prime numbers.

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answer is B.

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Detailed Solution

Concept: We are aware that two or more prime numbers cannot ever share a factor.Any pair of prime numbers is a coprime pair: Every prime number only has the number itself and the component 1, hence the only factor that two prime numbers will have in common is 1. For instance, two prime integers are 2 and 3. Factors of 2 are 1, 2, and 3 are 1, 3.
The LCM of three prime numbers is 4991.
no common factor in Prime numbers hence
The result of multiplying these 3 prime numbers is 4991.
4991 is divisible by 7

The LCM of the prime numbers 7, 23, and 31 is 4991.
Greatest prime number out of these three is 31
Hence, the correct answer is option 2

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