MP Board · Class 10 · Mathematics · Real NumbersIf HCF(306, 657) = 9, then LCM(306, 657) is:
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Total Attempts: 24
Accuracy Rate: 54.2%
Step-by-Step Solution
The correct answer is C (22338).
Explanation:\nWe know that $\text{LCM}(a, b) \times \text{HCF}(a, b) = a \times b$. $\text{LCM}(306, 657) = \frac{306 \times 657}{\text{HCF}(306, 657)}$ $\text{LCM}(306, 657) = \frac{306 \times 657}{9} = 34 \times 657 = 22338$.
Detailed Options Breakdown
Option : 22328
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: 22233
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 2: 22338 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 22348
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.