Q. 75.0( 2 Votes )

Find the LCM of the following

3(a – 1), 2(a – 1)2, (a2 – 1)

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


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Relationship Between Coefficients and ZerosRelationship Between Coefficients and ZerosRelationship Between Coefficients and Zeros44 mins
Important Algebra QuestionsImportant Algebra QuestionsImportant Algebra Questions46 mins
Interactive Quiz: Algebra Important QuestionsInteractive Quiz: Algebra Important QuestionsInteractive Quiz: Algebra Important Questions38 mins
Quiz on  Important Algebra QuestionsQuiz on  Important Algebra QuestionsQuiz on Important Algebra Questions26 mins
Quiz on  Number of Solutions of an EquationQuiz on  Number of Solutions of an EquationQuiz on Number of Solutions of an Equation24 mins
Genius Quiz | NTSE Questions AlgebraGenius Quiz | NTSE Questions AlgebraGenius Quiz | NTSE Questions Algebra27 mins
Interactive Quiz: Nature of RootsInteractive Quiz: Nature of RootsInteractive Quiz: Nature of Roots51 mins
Know Some Interesting Proofs in AlgebraKnow Some Interesting Proofs in AlgebraKnow Some Interesting Proofs in Algebra42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses