find the greatest number of 6 digits exactly, Mathematics

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find the greatest number of 6 digits exactly

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720)

Ans: LCM of 24, 15, 36

LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360

Now, the greatest six digit number is 999999

Divide 999999 by 360

∴ Q = 2777 , R = 279

∴ the required number = 999999 - 279 = 999720

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