if the product of two numbers is 20736 and their HCF is 54, then find their LCM​

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if the product of two numbers is 20736 and their HCF is 54, then find their LCM​

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Valentina 1 month 2021-08-17T22:23:56+00:00 1 Answer 0 views 0

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    2021-08-17T22:25:06+00:00

    Let ,

    The two number are ” x ” and ” y “

    Given ,

    The product of two number = 20736

    HCF of two number = 54

    We know that ,

    The relationship between HCF and LCM of two numbers ” a ” and ” b “

     \boxed{ \sf{HCF(a,b)  =  \frac{a \times b}{LCM(a,b)}} }

    Thus ,

    54 = 20736/LCM(x,y)

    LCM(x,y) = 20736/54

    LCM(x,y) = 384

    Therefore ,

    The LCM of given two number is 384

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