📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!


    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 × 3 9 = 3² 15 = 3 × 5 LCM = 2 × 3² × 5 = 2 × 9 × 5 = 90 We want the smallest multiple of 90 which is ≥ 1000. 1000 ÷ 90 = 11 remainder 10 Next multiple: 90 × 12 = 1080 Answer: 1080

    Practice Next

    Relevant for Exams:

    ask-question