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    The product of two numbers 5184 and their HCF is 24. What is their LCM?
    Question

    The product of two numbers 5184 and their HCF is 24. What is their LCM?

    A.

    324

    B.

    125

    C.

    343

    D.

    216

    Correct option is D

    Given:
    The product of two numbers = 5184
    The HCF of the two numbers = 24
    Formula Used:
    Product of numbers = LCM × HCF
    Solution:
    Product of numbers = LCM × HCF
    5184=24×LCMLCM=518424LCM=2165184= 24 \times \text{LCM} \\\text{LCM} = \frac{5184}{24} \\\text{LCM} = 216​​
    Thus, the LCM of the two numbers is 216

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