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31 January, 02:02

You have 3 alarms in your room. Your cell phone alarm is set to ring every 30 minutes. Your computer alarm is set to ring every 20 minutes and your clock alarm is set to ring every 45 minutes. If all 3 alarms ring simultaneously at 12:39PM., when is the next time they will ring simultaneously?

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  1. 31 January, 03:54
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    Answer:3:39 PM

    Explanation:

    Given

    Cell phone Alarm is set to ring every 30 minutes

    Computer alarm is set to ring every 20 minutes

    Clock alarm is set to ring every 45 minutes

    All alarms ring at 12:39 so next time they ring simultaneously is given by

    LCM of (30, 20, 45) = 180

    Thus all alarms will ring simultaneously after 180 min i. e. at 3:39 PM
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