Question 144

The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28.

Solution

LCM of 12, 18, 21 and 28 = 252

The greatest four digit number = 9999

On dividing 9999 by 252, the remainder is 171

$$\therefore\ $$The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 = 9999-171 = 9828

Hence, the correct answer is Option A

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