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    If three numbers are in ratio of 5:7:9, and their LCM is 1260. Then Highest value number is -
    Question

    If three numbers are in ratio of 5:7:9, and their LCM is 1260. Then Highest value number is -

    A.

    63

    B.

    54

    C.

    45

    D.

    36

    Correct option is D

    Given:
    The three numbers are in the ratio 5:7:9.
    Their LCM is 1260.

    Solution:

    The three numbers are in the ratio 5:7:9.

    Let the numbers be: 5, 7, and 9.

    LCM (5x, 7x, 9x) = x × 315

    x × 315 = 1260

    x=1260315=4x = \frac{1260}{315} = 4

    Now, the three numbers are:
    5x = 5 ×\times​ 4 = 20,

    7x = 7 ×\times​ 4 = 28,

    9x = 9 ×\times​ 4 = 36

    So, the highest value number is 36.

    Thus, the correct answer is (d).

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