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The LCM of three consecutive natural numbers is 2730. What is their sum?

Competition practiceNumber System, HCF & LCM

A39
B42
C45
D36

Step-by-Step Solution

For an odd first number the three are pairwise co-prime, so

n (n + 1) (n + 2) = 2730 = 13 \times 14 \times 15

. Sum 42.

Answer: B) 42

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