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Four clocks sound the tick after every 30 minutes, 45 minutes, 105 minutes, and 15 minutes, respectively. They all tick together at 12 o'clock in the afternoon, find out the time when they will tick together again?

Four clocks sound the tick after every 30 minutes, 45 minutes, 105 minutes, and 15 minutes, respectively. They all tick together at 12 o'clock in the afternoon, find out the time when they will tick together again? Correct Answer 10:30 PM

GIVEN:

Four clocks sound the tick after every 30 minutes, 45 minutes, 105 minutes, and 15 minutes, respectively. They all tick together at 12 o'clock in the afternoon.

CONCEPT:
LCM: denotes the least common multiple of any two or more given integers.

CALCULATION:

LCM (30, 45, 105, 15) = 630 min = 10.5 hr = 10 hr 30 min

∴ Time when they will tick together again = 12:00 + 10:30 = 10:30 PM

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