CBSE · Class 6 · Mathematics · Playing with NumbersFind the Lowest Common Multiple (LCM) of 12 and 15.
Step-by-Step Solution
To find the LCM of 12 and 15, list their prime factors:
- $12 = 2 \times 2 \times 3 = 2^2 \times 3$
- $15 = 3 \times 5$ \nTake the highest power of each prime factor involved: $$\text{LCM} = 2^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60$$
Detailed Options Breakdown
Option : 30
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 1: 60 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 90
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 3: 180
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
💡 Study Guide: This question tests core syllabus concepts from Playing with Numbers. For formulas, key summaries, and mock exam reference guides, read the full Playing with Numbers Revision Notes.