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Use least common multiple or greatest common divisor to solve the problem. Three clocks chime every...


Use least common multiple or greatest common divisor to solve the problem. Three clocks chime every 14 minutes, 22 minutes, a
Use least common multiple or greatest common divisor to solve the problem. Three clocks chime every 14 minutes, 22 minutes, and 77 minutes, respectively. If the three clocks chime together, how much time must pass before they will chime together again? 308 minutes 113 minutes 1694 minutes 154 minutes
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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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