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HCF and LCM Questions Answers

  • 22. If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

    1. 2574
    2. 2500
    3. 1365
    4. 1574
    Answer And Explanation

    Answer: Option A

    Explanation:

    HCF * LCM = 84942, because we know

    Product of two numbers = Product of HCF and LCM

    LCM = 84942/33 = 2574

  • 23. There are three numbers, these are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. What will be the sum of three numbers :

    1. 80
    2. 82
    3. 85
    4. 87
    Answer And Explanation

    Answer: Option C

    Explanation:

    As given the questions these numbers are co primes, so there is only 1 as their common factor.
    It is also given that two products have the middle number in common.
    So, middle number = H.C.F. of 551 and 1073 = 29;

    So first number is : 551/29 = 19
    Third number = 1073/29 = 37

    So sum of these numbers is = (19 + 29 + 37) = 85