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    LCM of 14, 21, 25 and 70 is:
    Question

    LCM of 14, 21, 25 and 70 is:

    A.

    105

    B.

    75

    C.

    210

    D.

    1050

    Correct option is D

    Given:

    ​LCM of 14, 21, 25, and 70

    Solution :

    To find the LCM of 14, 21, 25, and 70, we first find the prime factorization of each number:

    14 = 2 × 7

    21 = 3 × 7

    25 = 5²

    70 = 2 × 5 × 7

    The LCM is the product of the highest powers of all prime factors that appear in the factorizations:

    LCM = 2 × 3 × 5² × 7 = 2 × 3 × 25 × 7 = 1050

    Therefore, the LCM of 14, 21, 25, and 70 is 1050.

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