Question discussion

Find the largest number of three digits exactly divisible by 15, 18, 27 and 30?

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Discussion 1

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LCM of 15, 18, 27, 30 = 2 × 3 × 3 × 3 × 5 × 1 × 1 × 1 = 270

After dividing 999 by 270, we get

Remainder = 189

∴ Answer = 999 - 189 = 810