the traffic lights at the three different road crossing change after 48 seconds 72 seconds and 108 seconds respectively.if they all changes simultaneously at 8 a.m. then at what time will they again change simultaneously?
mathsmaster:
hi
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After 2 minutes according to me....
48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
Hence LCM of 48, 72 and 108 is (2 × 2 × 2 × 2 × 3 × 3 × 3)
= 432
That is after 432 seconds they will change simultaneously
432 seconds = 7 min 12 seconds
Thus the traffic lights change simultaneously at 8:7:12 am
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after 2592sec may be
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