Math

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A family is moving and has a number of electronic devices in the same packing crate. One of the devices beeps every 8 minutes, another device beeps every 10 minutes, and a third device beeps every 12 minutes. If all the devices beeped together at 3:00pm, what time will they all beep together next?

  • Math -

    What is the LCM for 8, 10 , and 12 ?

  • Math -

    LCM, not GCF

  • Math -

    Not sure, 120?

  • Math -

    Right. So what's 120 minutes from 3:00?

  • Math -

    first device: 8 16 24 .... 120
    2nd device : 10 20 30 ... 120
    3rd device: 12 24 36 ... 120

    so 120 minutes from now they coincide
    120 min = 2 hours

    so at 5:00 all 3 will peep at the same time

  • Math -

    thank you!

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