Q. 75.0( 2 Votes )

Find the LC

Answer :

Given terms: –


3(a – 1), 2(a – 1)2, (a2 – 1)


Formula used: –


LCM = Least Common Multiple


Means it is the lowest term by which every element must be


divided completely;


3(a – 1) = 3 × (a – 1)


2(a – 1)2 = 2 × (a – 1) × (a – 1)


(a2 – 1) = (a2 – 12) = (a – 1) × (a + 1)


first find the common factors in all terms


Common factor = (a – 1)


then multiply the remaining factors of terms in common


factor to get the LCM


= (a – 1) × [(3) × (2(a – 1)) × (a + 1)]


= 6(a + 1)(a – 1)2


Conclusion: –


The LCM of given terms [3(a – 1), 2(a – 1)2, (a2 – 1)] is


6(a + 1)(a – 1)2


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