The traffic lights at 3 different roads change after every 12 seconds, 24 seconds and 72 seconds respectively. If they change simultaneously at 6am, at what time will they change again simultaneously.
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to find the at what time the lights will change simultaneously we need to find the LCM of 48, 72 and 108
LCM of 42, 72 and 108
=2\times2\times3\times3\times2\times2\times3=2×2×3×3×2×2×3
432\div60\min\ =\ 7\min\ 12\ \sec432÷60min = 7min 12 sec
hence, the lights will again change simultaneously at 7mins 12sec past 7
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