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    The ratio of two numbers is 4 : 5 and their HCF is 3. Their LCM is:
    Question

    The ratio of two numbers is 4 : 5 and their HCF is 3. Their LCM is:

    A.

    15

    B.

    80

    C.

    60

    D.

    20

    Correct option is C

    Given:

    Ratio of two numbers = 4 : 5

    HCF = 3

    Concept Used:
    If the ratio of two numbers is a : b and their HCF is h, then the numbers are 4h and 5h.
    LCM × HCF = Product of the two numbers

    Solution:
    Let the numbers be 4 × 3 = 12 and 5 × 3=15

    LCM=12×153=1803=60\text{LCM} = \frac{12 \times 15}{3} = \frac{180}{3} = 60

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