Q. 1

Let's find L.C.M. of 4a2b4c, 12a3bc5 and 18a2b3c2

Answer :

Let us understand what L.C.M, Least Common Multiple is.

Least common multiple of two or more integers, is the smallest positive integer that is divisible by these two or more integers.


In order to find L.C.M, we need to find factors of each terms.


Factorization of 4a2b4c = 2 × 2 × a × a × b × b × b × b × c


Or, Factorization of 4a2b4c = 22 × a2 × b4 × c


Factorization of 12a3bc5 = 2 × 2 × 3 × a × a × a × b × c × c × c × c × c


Or, Factorization of 12a3bc5 = 22 × 3 × a3 × b × c5


Factorization of 18a2b3c2 = 2 × 3 × 3 × a × a × b × b × b × c × c


Or, Factorization of 18a2b3c2 = 2 × 32 × a2 × b3 × c2


Now, we need to find the factor of highest power.


Factors of 4a2b4c = 22, a2, b4, c


Factors of 12a3bc5 = 22, 3, a3, b, c5


Factors of 18a2b3c2 = 2, 32, a2, b3, c2


The factors are 22, 32, a3, b4 and c5.


By multiplying these factors, we get


22 × 32 × a3 × b4 × c5 = 4 × 9 a3b4c5


22 × 32 × a3 × b4 × c5 = 36 a3b4c5


Thus, lcm of 4a2b4c, 12a3bc5 and 18a2b3c2 is 36 a3b4c5.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Multiplication of Algebraic ExpressionMultiplication of Algebraic ExpressionMultiplication of Algebraic Expression40 mins
Division of Algebraic ExpressionsDivision of Algebraic ExpressionsDivision of Algebraic Expressions36 mins
Algebraic Expressions and IdentitiesAlgebraic Expressions and IdentitiesAlgebraic Expressions and Identities43 mins
Division of Algebraic ExpressionsDivision of Algebraic ExpressionsDivision of Algebraic Expressions37 mins
Smart Revision | Quiz on Algebraic Expression and IdentitiesSmart Revision | Quiz on Algebraic Expression and IdentitiesSmart Revision | Quiz on Algebraic Expression and Identities44 mins
How to Use Algebraic IdentitiesHow to Use Algebraic IdentitiesHow to Use Algebraic Identities40 mins
Genius Quiz | Algebraic Expressions and IdentitiesGenius Quiz | Algebraic Expressions and IdentitiesGenius Quiz | Algebraic Expressions and Identities30 mins
Algebric Expressions and IdentitiesAlgebric Expressions and IdentitiesAlgebric Expressions and Identities45 mins
NCERT | Practice Qs on Addition and Subtraction of Algebraic ExpressionsNCERT | Practice Qs on Addition and Subtraction of Algebraic ExpressionsNCERT | Practice Qs on Addition and Subtraction of Algebraic Expressions42 mins
Operations on Algebraic ExpressionsOperations on Algebraic ExpressionsOperations on Algebraic Expressions51 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