NCERT · Class 10 · Mathematics · Real NumbersWhat is the LCM of 12 and 15?
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Step-by-Step Solution
To find the LCM of 12 and 15, we write their prime factorizations: $12 = 2^2 \times 3$ and $15 = 3 \times 5$. The LCM is the product of the highest power of each prime factor involved: $2^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60$. Thus, the LCM is 60.
Detailed Options Breakdown
Option : 30
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: 60 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 120
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.