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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