An electronic device makes a deep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?

The devices will beep simultaneously at the LCM of intervals of beeps

So LCM of 60 and 62 -


Prime factors of the numbers are -


60 = 2 × 2 × 3 × 5


62 = 2 × 31


So LCM = product of prime factors with highest powers = 22 × 3 × 5 × 31 = 1860 seconds


devices will beep simultaneously after 1860 seconds.


We know 1 min = 60 seconds,


So 1860 seconds = 1860/60 minutes = 31 minutes.


the next time they will beep simultaneously at 10:31 hrs.


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