The greatest four-digit number that is exactly divisible by 15, 24, and 40 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 9960.
Given that
The greatest four-digit number that is exactly divisible by 15, 24 and 40
According to the question
LCM of (15, 24, 40) = 120
As we know, The largest 4-digit number is 9999
Now, we divide 9999 by 120, the remainder = 39
Hence, the required 4- digit number = 9999 - 39 = 9960