Question
Find the greatest 3-digit number which is exactly
divisible by 7, 8 and 9.Solution
First find LCM of 7, 8 and 9. 7 = 7 8 = 2³ 9 = 3² LCM = 2³ × 3² × 7 = 8 × 9 × 7 = 504 Now find the greatest 3-digit multiple of 504: 504 × 1 = 504 504 × 2 = 1008 (> 999, not allowed as 3-digit) So, required number = 504
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