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    Question

    What is the smallest cubic number, which is divisible by

    72, 108, and 300?
    A 3375 Correct Answer Incorrect Answer
    B 27000 Correct Answer Incorrect Answer
    C 5400 Correct Answer Incorrect Answer
    D 21600 Correct Answer Incorrect Answer

    Solution

    72=2Γ—2Γ—2Γ—3Γ—3 108=2Γ—2Γ—3Γ—3Γ—3 300=2Γ—2Γ—3Γ—5Γ—5 LCM =2Γ—2Γ—2Γ—3Γ—3Γ—3Γ—5Γ—5 To make such a perfect cube, only 5 times are required. So now - 2Γ—2Γ—2Γ—3Γ—3Γ—3Γ—5Γ—5Γ—5=27000.

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