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Finding LCM of Polynomials (x^2+x-6), (2x-4) Using GCF

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 17, 2023

Our Free LCM of Polynomials Using GCF Calculator is helpful for Finding LCM of Polynomials (x^2+x-6), (2x-4) Using GCF. The tool will give you the result 2x^2 + 2x - 12 easily with a detailed explanation.

Ex: x^2+2x+1,x+1 (or) x^2-1,x-1 (or) x^3-1,x+1

LCM of
and

Finding LCM of Polynomials (x+3), (x-3) Using GCF

Solution to Find LCM of Polynomials (x^2+x-6), (2x-4) Using GCF

Given polynomials are ((x^2+x-6)),((2x-4))

Find the factors of all polynomials

The factors of (x^2+x-6) are 1, and (x - 2)(x + 3)

The factors of (2x-4) are 1, and 2(x - 2)

By observing the above factors, we can say that the GCF of ((x^2+x-6)) and ((2x-4)) is x - 2

To find the LCM of ((x^2+x-6)) and ((2x-4)), we have to multiply both together

= ((x^2+x-6)) * ((2x-4))

= x^2((2x-4)) +x((2x-4)) -6((2x-4))

= 2x^3 - 2x^2 - 16x + 24

To find the LCM we have to divide 2x^3 - 2x^2 - 16x + 24 by GCF

i.e (2x^3 - 2x^2 - 16x + 24)/(x - 2) = 2x^2 + 2x - 12

Therefore, the LCM of ((x^2+x-6)),((2x-4)) is 2x^2 + 2x - 12

FAQS on Finding LCM of Polynomials (x^2+x-6), (2x-4) Using GCF

1. What is the LCM of Polynomials (x^2+x-6), (2x-4) Using GCF?

The least common multiple of Polynomials (x^2+x-6), (2x-4) Using GCD is 2x^2 + 2x - 12

2. Where can I get the detailed solution for Finding LCM of Polynomials (x^2+x-6), (2x-4) Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials (x^2+x-6), (2x-4) Using GCF?

3. How to Find Least Common Multiple of (x^2+x-6), (2x-4) with GCF method?

You have to find GCF of polynomials (x^2+x-6), (2x-4) and then multiply all the polynomials. Now,