Given that $\text{HCF}(306, 657) = 9$, find $\text{LCM}(306, 657)$.
Step-by-Step Solution
Key Concept: $\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$.
We know $\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$. [0.5 Mark]
$9 \times \text{LCM}(306, 657) = 306 \times 657$. [0.5 Mark]
$\text{LCM}(306, 657) = \dfrac{306 \times 657}{9} = 34 \times 657 = 22338$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Stating the HCF-LCM product relationship: 0.5 Mark
Substituting given values: 0.5 Mark
Correct final calculation of LCM: 1.0 Mark
Correct Answer: