i) Find the greatest number of five digits exactly divisible by 9, 12,15, 18 and 24
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Sol: LCM of 9, 12, 15, 18 and 24 by division method is 360. The quotient when 99999 is divided by 360 is 277 and the remainder is 279. ∴ Greatest number of five digits divisible by 9, 12, 15, 18 and 24 = 99999 - 279 = 99720.
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LCM of 9, 12, 15, 18 and 24 by division method is 360. The quotient when 99999 is divided by 360 is 277 and the remainder is 279. ∴ Greatest number of five digits divisible by 9, 12, 15, 18 and 24 = 99999 - 279 = 99720.
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