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14 February, 09:15

Find the HCF and LCM of 404 and 96 and verify that HCF * LCM = product of two numbers

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  1. 14 February, 10:08
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    HCF

    The higest common Factor of these two numbers can be found by breaking this down into it's prime factors.

    404: 2*2*101

    96: 2*2*2*2*2*3

    HCF: 4

    LCM

    Using the same factors, the LCM can be found but taking the Highest number of prime factors from each set of numbers.

    96:2 * 2 * 2 * 2 * 2 * 3

    404: 2 * 2 * 101

    The Lowest Common Multiple is

    2*2*2*2*2 * 3 * 101

    LCM: 96 * 101 = 9696

    HCF*LCM = 4 * 9696 = 38784

    Multiple Original numbers together = 96 * 404 = 38784
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