Given HCF of 306 and 657 Find Their LCM

Video Explanation

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Solution

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

Step 1: Use the Relation Between LCM and HCF

For any two positive integers a and b,

a × b = LCM (a, b) × HCF (a, b)

Step 2: Substitute the Given Values

306 × 657 = LCM (306, 657) × 9

Step 3: Calculate the LCM

LCM (306, 657) = (306 × 657) ÷ 9

LCM (306, 657) = 20142

Final Answer

∴ The LCM of 306 and 657 is 20142.

Conclusion

Thus, using the relation between HCF and LCM, we find that the LCM of 306 and 657 is 20142.