Given that HCF (306, 657) = 9, find LCM (306, 657)
Solution:
Given:
- HCF(306, 657) = 9
- Numbers: 306 and 657
Express the formula
9 × LCM = 306 × 657
Simplify the product
Notice that 306 is divisible by 9:
306/9 = 34
Thus,
LCM = 34 × 657
Multiply
34 × 657 = 34 × (600 + 57) = 34 × 600 + 34 × 57 = 20400 + 1938 = 22338
Final Answer
LCM (306,657) = 22338