Question:

The Least Common Multiple (LCM) of 0.12, 9.60, and 0.60 is:

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When finding LCM of decimals, multiply through to remove decimals, find LCM, then divide back.
Updated On: Aug 11, 2025
  • 9.006
  • 0.12
  • 0.6
  • None of these
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The Correct Option is D

Solution and Explanation

Convert to whole numbers by multiplying each by 100: \[ 0.12 \times 100 = 12, 9.60 \times 100 = 960, 0.60 \times 100 = 60 \] Now, find LCM of 12, 960, 60: Prime factorization: \[ 12 = 2^2 \times 3, 960 = 2^6 \times 3 \times 5, 60 = 2^2 \times 3 \times 5 \] LCM is \( 2^6 \times 3 \times 5 = 64 \times 15 = 960 \). Since we multiplied by \(100\) earlier, divide the result by 100: \[ \frac{960}{100} = 9.6 \] Hence, LCM = \( \boxed{9.6} \), which is not listed in the given options — so answer is “None of these.”
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