Given that HCF (306, 657) = 9, find LCM (306, 657)

To find the LCM (306, 657), we can use the relationship between the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two numbers. The relationship is given by:

$\text{HCF} \times \text{LCM} = \text{Product of the two numbers}$

Given: $\text{HCF} (306, 657) = 9$

We need to find: $\text{LCM} (306, 657)$

First, calculate the product of the two numbers: $306 \times 657$

Now, use the relationship: $\text{HCF} \times \text{LCM} = 306 \times 657$

Substitute the given HCF: $9 \times \text{LCM} = 306 \times 657$

Solve for LCM: $\text{LCM} = \frac{306 \times 657}{9}$

Perform the multiplication and division: $306 \times 657 = 201042$ $\text{LCM} = \frac{201042}{9} = 22338$

Therefore: $\text{LCM} (306, 657) = 22338$