WBCS.LIVE practice question

The greatest number of four digits which is exactly divisible by 24, 36 and 54 is:

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 9990
  2. 9924
  3. 9936
  4. 9960

Correct answer and explanation

Correct answer: 9936

Explanation: āœ… Correct Answer: C) 9936 šŸ“š Explanation: The Least Common Multiple (LCM) of 24, 36, and 54 is 216. We need to find the largest four-digit number (less than 10000) that is a multiple of 216. Dividing 9999 by 216 leaves a remainder of 63. Subtracting this remainder from 9999 ($9999 - 63$) results in exactly 9936, which is perfectly divisible.