An electronic device makes a beep after every 60 seconds. Another device makes a beep after 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
Beep duration of first device = 60 seconds
Beep duration of second device = 62 seconds
∴ Interval of beeping together = LCM (60, 62)
∴ LCM = seconds = = 31 min
Hence, they will beep together again at 10 : 31 a.m.
RS Aggarwal (2015)