Q. Give HCF (306, 657) = 9 Find the LCM (306, 657).

Correct Answer: (C) 22338

Explanation:

To solve this problem, we use the relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers:

HCF × LCM = Product of the two numbers

Step 1: Write down the given values
– HCF(306, 657) = 9
– The two numbers are 306 and 657.

Step 2: Calculate the product of the two numbers
The product of the two numbers is:
306 × 657 = 201042

Step 3: Use the formula to find LCM
We know:
HCF × LCM = Product of the two numbers
Substitute the values:
9 × LCM = 201042

Solve for LCM:
LCM = 201042 ÷ 9 = 22338

Final Answer: (C) 22338