Q. 4 I3.8( 5 Votes )

# Let’s find the L.C.M. of the following algebraic expressions:3x2-15x + 18, 2x2 + 2x-24, 4x2 + 36x + 80

factors of 3x2-15x + 18

=3x2-9x-6x + 18

=3x(x-3)-6(x-3)

=(3x-6) (x-3)

=3(x-2) (x-3)

Factors of 2x2 + 2x-24

=2(x2 + x-12)

=2(x2 + 4x-3x-12)

=2(x(x + 4)-3(x + 4))

=2(x-3) (x + 4)

Factors of 4x2 + 36x + 80

=4(x2 + 9x + 20)

=4(x2 + 5x + 4x + 20)

=4{x(x + 5) + 4(x + 5)}

=4(x + 5) (x + 4)

LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.

the LCM of 3x2-15x + 18, 2x2 + 2x-24, 4x2 + 36x + 80 is

12(x-2) (x-3) (x + 4) (x + 5)

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 Expression40 mins
Division of Algebraic Expressions36 mins
Division of Algebraic Expressions37 mins
Master Algebraic Identities43 mins
How to Use Algebraic Identities40 mins
Genius Quiz | Algebraic Expressions and Identities30 mins
Algebric Expressions and Identities45 mins
Operations on Algebraic Expressions51 mins
Foundation | Spoken Expression45 mins
Algebraic Identities - Mark your Weak Areas41 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
view all courses