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Summer Clouds moderators

04/11/2017 at 23:16
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If a is the greatest common factor of 72 and 48, and if b is the greatest common factor of 108 and 144, what is the least common multiple of a and b?
 




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    Lê Quốc Trần Anh Coordinator 05/11/2017 at 10:53

    We have: \(a=GCF\left(72,48\right)=24=2^3\cdot3\)

    We have: \(b=GCF\left(108,144\right)=36=2^2\cdot3^2\)

    So the least common multiple of a and b is: \(LCM\left(a,b\right)=LCM\left(24,36\right)=2^3\cdot3^2=8\cdot9=72\)

    ANSWER: 72

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    Phạm Tuấn Đạt 05/11/2017 at 22:38

    a=GCF(72;48)=24;b=GCF(108;144)=36a=GCF(72;48)=24;b=GCF(108;144)=36

    LCM(a;b)=72

  • ...
    Phan Thanh Tinh Coordinator 05/11/2017 at 10:54

    \(a=GCF\left(72;48\right)=24;b=GCF\left(108;144\right)=36\)

    \(LCM\left(a;b\right)=72\)


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