Find two numbers if their Least Common Multiple, LCM is 100 and their Highest Common Factor, HCF is 5. Give two possible pairs of answers. ​

Question

Find two numbers if their Least Common Multiple, LCM is 100 and their Highest Common Factor, HCF is 5. Give two possible pairs of answers. ​

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Farah 3 years 2021-08-24T05:12:43+00:00 1 Answers 31 views 0

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  1. Doris
    0
    2021-08-24T05:14:12+00:00
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    Step-by-step explanation:

    Let H = HCF(A,B) and L = LCM(A,B)

    Then A*B = L*H

    Here L*H = 100*5 = 500

    Also H <= A ,B <= L

    So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

    Here 500 = 2^2 * 5^3

    so possible values of A and B are

    1 , 500

    2, 250

    4, 125

    5,100

    10,50

    20,25

    (assuming order doesn’t matter.)

    so pairs satisfying given condition are → (20,25) and (100,5)

    You can write a computer program in language of your choice to do it for other bigger numbers.

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