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    Question

    Find the smallest 4-digit number which is exactly

    divisible by 6, 9 and 15.
    A 1032 Correct Answer Incorrect Answer
    B 1005 Correct Answer Incorrect Answer
    C 1080 Correct Answer Incorrect Answer
    D 1104 Correct Answer Incorrect Answer

    Solution

    LCM of 6, 9, 15: 6 = 2 ├Ч 3 9 = 3┬▓ 15 = 3 ├Ч 5 LCM = 2 ├Ч 3┬▓ ├Ч 5 = 2 ├Ч 9 ├Ч 5 = 90 We want the smallest multiple of 90 which is тЙе 1000. 1000 ├╖ 90 = 11 remainder 10 Next multiple: 90 ├Ч 12 = 1080 Answer: 1080

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