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Q: The LCM of the numbers 36, 54, 72 and 96 is :
  • A. 1064
  • B. 764
  • C. 864
  • D. 964
Correct Answer: Option C - The LCM of the numbers 36, 54, 72 and 96 is 36 = 2 × 2 × 3 × 3 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 96 = 2 × 2 × 2 × 2 × 2 × 3 Hence the LCM of 36, 54, 72, 96 = 2×2×2× 2 × 2 × 3 × 3 × 3 = 32 × 27 = 864
C. The LCM of the numbers 36, 54, 72 and 96 is 36 = 2 × 2 × 3 × 3 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 96 = 2 × 2 × 2 × 2 × 2 × 3 Hence the LCM of 36, 54, 72, 96 = 2×2×2× 2 × 2 × 3 × 3 × 3 = 32 × 27 = 864

Explanations:

The LCM of the numbers 36, 54, 72 and 96 is 36 = 2 × 2 × 3 × 3 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 96 = 2 × 2 × 2 × 2 × 2 × 3 Hence the LCM of 36, 54, 72, 96 = 2×2×2× 2 × 2 × 3 × 3 × 3 = 32 × 27 = 864