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

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

    • Posted by Nishant Mathur 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Yogita Ingle 4 years, 11 months ago

    Given that HCF = 9 and the numbers are 306 and 657 .
    LCM = ?
    We know that LCM × HCF = product of two numbers 
    ⇒LCM × 9 = 306 × 657
    ⇒LCM = 201042/9 = 22338 

    1Thank You

    Ranbeer Boparai 4 years, 11 months ago

    We don't need the given part in this question, we can directly find the LCM(306,657) by prime factorisation method. 306=2×3×3×17 657=3×3×73. So, the LCM of 306 and 657 is 2×3×3×17×73=22338

    1Thank You

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