Two alarm clocks ring their alarms at regular intervals

Asked by admin @ in Math viewed by 296 People

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon at what time will they beep again for the first time?

Answered by admin @


They will beep together after time interval which is multiple of both i.e. 50 and 48.
That means we have to find out the LCM  of 50 and 48.

48=2x2x2x2x3
50=2x5x5
LCM of 48 and 50 is = 2x2x2x2x3x5x5= 1200

so the bell will rang together after 1200 s or 1200/60 minutes = 20 minutes

time = 12:20 pm


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