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Find HCF of 378,180, 420. Is …

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Find HCF of 378,180, 420. Is HCF *LCM is equal to the product of three numbers?

    • Posted by Nikita Sharma 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Prashant Parihar 6 years, 4 months ago

    Factor all three numbers common number in all Three number then hcf and power mutiply then lcm Lcm×hcf=a×b×c

    2Thank You

    Gaurav Seth 6 years, 4 months ago

    378 = 2x3x3x3x7

    180 = 2x2x3x5x7

    420 = 2x2x3x5x7.

    L.C.M ( 378,180,420) = 2x2x3x3x3x5x7 = 3780

    H.C.F ( 378,180,420) = 2x3  = 6

    ⇒ L.C.M ( 378,180,420) x H.C.F ( 378,180,420) ≠  378 x 180 x 420.

    ⇒ 3780 x 6 ≠  378 x 180 x 420.

     ∴ 22680 ≠  28576800.

    ∴HCF and LCM of three number is not equal to product of three number.

    2Thank You

    ANSWER
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