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MATHS~~

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How many positive integers less than or equal to 1000 are common multiples of the three numbers 27,225, and 135?

  • MATHS~~ -

    let's find the LCM of the three:

    27 = 3x3x3
    225 = 3x3x5x5
    135 = 3x3x3x5

    LCM = 3x3x3x5x5 = 675
    the next one would be 1350, which of course > 1000

    so there is only one such number.

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