Question

    What is the least number of three digits, which when

    divided by 6, 12 and 15 leaves no remainder?
    A 210 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 180 Correct Answer Incorrect Answer

    Solution

    6 = 2 × 3 12 = 2 × 2 × 3 15 = 3 × 5 LCM (6, 12, 15) = 3 × 2 × 2 × 5 = 60 any multiple of 60 is divisible by 6, 12, 15 without leaving any remainder. ⇒ Hence, 120 is the least number of options that satisfy our condition. 

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