Find the greatest number of four digits which is exactly divisible by 15, 24, and 36.

Answer and explanation

Correct answer: D. 9720

  1. Step 1: LCM(15, 24, 36) = 360.
  2. Step 2: Largest 4-digit number is 9999.
  3. Step 3: Divide 9999 by 360: 9999 = 360 * 27 + 279.
  4. Step 4: Greatest number = 9999 - 279 = 9720.

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