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    Two numbers are in the ratio 3:4, and their HCF is 5. Find their LCM.
    Question

    Two numbers are in the ratio 3:4, and their HCF is 5. Find their LCM.

    A.

    62

    B.

    60

    C.

    48

    D.

    58

    Correct option is B

    Given:
    Numbers are in ratio 3:4
    HCF = 5
    Formula Used:
    Numbers = 3k and 4k3k \text{ and } 4k​​
    LCM =Product of numbersHCF \frac{Product \text{ of numbers}}{HCF}​​
    Solution:
    Numbers =3×5=15 and 4×5=20 3 \times 5 = 15 \text{ and } 4 \times 5 = 20​​
    LCM =15×205 \frac{15 \times 20}{5}​​
    LCM = 60
    Therefore, the LCM is 60.

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