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Use least common multiple or greatest common divisor to solve the problem. Three clocks chime every 14 minutes, 22 minutes, a
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Answer #1

Three clocks chime every 14 minutes ,22 minutes and 77 minutes , respectively.

Since lcm(a, b), is the smallest positive integer that is divisible by both a and b , so If the three clocks chime together , then all will together chime again in LCM of 14 ,22 and 77 minutes .

LCM(14,22,77) = 2*7*11 =154

So 154 minutes must pass before they will again chime together .

So option d is the answer .

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