CBSE · Class 10 · Mathematics · Real NumbersThe LCM of 12, 15 and 21 is:
Step-by-Step Solution
The correct answer is C (420).
Explanation:
- Prime factorizations: $12 = 2^2 \times 3$ $15 = 3 \times 5$ $21 = 3 \times 7$
- LCM is the product of the greatest power of each prime factor involved: $2^2 \times 3 \times 5 \times 7 = 4 \times 3 \times 5 \times 7 = 420$.
Detailed Options Breakdown
Option : 120
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: 240
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 2: 420 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 540
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.