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The traffic lights at three different …

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The traffic lights at three different road crossing change after every 18 seconds,72 seconds and 108 seconds respectively. if they change simultaneously at 7:00 am, at what time will they change simultaneously again?

  • 1 answers

Rashmi Bajpayee 9 years, 3 months ago

They will change simultaneously again after L.C.M. (18, 72, 108) Seconds.

i.e.  18 = 2 x 3 x 3

       72 = 2 x 2 x 2 x 3 x 3

     108 = 2 x 2 x 3 x 3 x 3

L.C.M. (18, 72, 108) = 2 x 2 x 2 x 3 x 3 x 3 = 216 seconds = 3 min 36 seconds

Therefore, at 7:03:36 am, they will change again.

 

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