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    Question

    Find the greatest 3-digit number which is exactly

    divisible by 8, 9 and 12.
    A 936 Correct Answer Incorrect Answer
    B 885 Correct Answer Incorrect Answer
    C 960 Correct Answer Incorrect Answer
    D 779 Correct Answer Incorrect Answer

    Solution

    We need the greatest 3-digit multiple of LCM(8, 9, 12). Prime factors: 8 = 2┬│, 9 = 3┬▓, 12 = 2┬▓ ├Ч 3 LCM = 2┬│ ├Ч 3┬▓ = 8 ├Ч 9 = 72 Greatest 3-digit number = 999 999 ├╖ 72 = 13 remainder 63 Largest multiple = 72 ├Ч 13 = 936

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