New Enroll in RBI Grade B New Batch - Starts on May 21

    Question

    The given numbers are in the ratio 2:5:6, and their

    highest common factor (HCF) is 15. Determine the least common multiple (LCM) of these numbers.
    A 900 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 450 Correct Answer Incorrect Answer
    D 720 Correct Answer Incorrect Answer
    E 640 Correct Answer Incorrect Answer

    Solution

    Since, HCF of given numbers is 15. So, numbers are 15 x 2 = 30, 15 x 5 = 75 and 15 x 6 = 90 30 = 2 x 3 x 5 75 = 3 x 5 x 5 = 3 x 52 90 = 2 x 3 x 3 x 5 = 2 x 32 x 5 Therefore, required LCM = 2 x 32 x 52 = 450

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