Question
Find the greatest 4-digit number which is exactly
divisible by both 15 and 21.Solution
ATQ, 15 = 3 × 5 21 = 3 × 7 LCM = 3 × 5 × 7 = 105 Greatest 4-digit number = 9999 9999 ÷ 105 ≈ 95.23, so take 95 Required number = 105 × 95 = 9975
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