Find the greatest number of 5 digits exactly divisible by 9,12,15,18 and 24

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Solution

LCM of 9, 12, 15, 18 and 24 by division method is 360.
Largest number of five digits = 99999
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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