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Finding LCM of Polynomials 2x^2, 4x+12 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 2x^2, 4x+12 Using GCF. The tool will give you the result 4x^3 + 12x^2 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
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Finding LCM of Polynomials (x+3), (x-3) Using GCF

Solution to Find LCM of Polynomials 2x^2, 4x+12 Using GCF

Given polynomials are (2x^2),(4x+12)

Find the factors of all polynomials

The factors of 2x^2 are 1, and 2x^2

The factors of 4x+12 are 1, and 4(x + 3)

By observing the above factors, we can say that the GCF of (2x^2) and (4x+12) is 2

To find the LCM of (2x^2) and (4x+12), we have to multiply both together

= (2x^2) * (4x+12)

= 2x^2(4x+12)

= 8x^3 + 24x^2

To find the LCM we have to divide 8x^3 + 24x^2 by GCF

i.e (8x^3 + 24x^2)/(2) = 4x^3 + 12x^2

Therefore, the LCM of (2x^2),(4x+12) is 4x^3 + 12x^2

FAQS on Finding LCM of Polynomials 2x^2, 4x+12 Using GCF

1. What is the LCM of Polynomials 2x^2, 4x+12 Using GCF?

The least common multiple of Polynomials 2x^2, 4x+12 Using GCD is 4x^3 + 12x^2

2. Where can I get the detailed solution for Finding LCM of Polynomials 2x^2, 4x+12 Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials 2x^2, 4x+12 Using GCF?

3. How to Find Least Common Multiple of 2x^2, 4x+12 with GCF method?

You have to find GCF of polynomials 2x^2, 4x+12 and then multiply all the polynomials. Now,