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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 × 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

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