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The Gcd ofthree numbers is 10and theirL.C.M is1500 two of the numbers are 30and 60 what are the other numbers?

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  1. LCM(30,60,x) = 1500
    30 = 2*3*5
    60 = 2^2*3*5
    1500 = 2^2*3*5^3
    x could be 5^3 = 125 or any multiple of 25 consisting only of 2,3,5 as factors

    GCF(30,60,x) = 10
    so, 125 is out, but 250 is in

    LCM(30,60,250) = 1500
    GCF(30,60,250) = 10

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    posted by Steve

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