Question
Find the smallest 4-digit number which is exactly divisible by 6, 9 and 15.
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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