Question : The greatest four-digit number that is exactly divisible by each of the numbers 12, 18, 21 and 28 is:
Option 1: 9828
Option 2: 9288
Option 3: 9882
Option 4: 9928
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Correct Answer: 9828
Solution :
LCM of (12, 18, 21, 28) = 252
So, the required greatest 4-digit number must be divisible by 252.
We know the greatest 4-digit number = 9999
Dividing this number by 252, we get the remainder 171.
So, the number will be = (9999 – 171) = 9828
Hence, the correct answer is 9828.
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