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Finding LCM of Polynomials 2x^2-18, 5x^3+30x^2+45x 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^2-18, 5x^3+30x^2+45x Using GCF. The tool will give you the result 10x^4 + 30x^3 - 90x^2 - 270x 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 2x^2-18, 5x^3+30x^2+45x Using GCF

Given polynomials are (2x^2-18),(5x^3+30x^2+45x)

Find the factors of all polynomials

The factors of 2x^2-18 are 1, and 2(x - 3)(x + 3)

The factors of 5x^3+30x^2+45x are 1, and 5x(x + 3)^2

By observing the above factors, we can say that the GCF of (2x^2-18) and (5x^3+30x^2+45x) is x + 3

To find the LCM of (2x^2-18) and (5x^3+30x^2+45x), we have to multiply both together

= (2x^2-18) * (5x^3+30x^2+45x)

= 2x^2(5x^3+30x^2+45x) -18(5x^3+30x^2+45x)

= 10x^5 + 60x^4 - 540x^2 - 810x

To find the LCM we have to divide 10x^5 + 60x^4 - 540x^2 - 810x by GCF

i.e (10x^5 + 60x^4 - 540x^2 - 810x)/(x + 3) = 10x^4 + 30x^3 - 90x^2 - 270x

Therefore, the LCM of (2x^2-18),(5x^3+30x^2+45x) is 10x^4 + 30x^3 - 90x^2 - 270x

FAQS on Finding LCM of Polynomials 2x^2-18, 5x^3+30x^2+45x Using GCF

1. What is the LCM of Polynomials 2x^2-18, 5x^3+30x^2+45x Using GCF?

The least common multiple of Polynomials 2x^2-18, 5x^3+30x^2+45x Using GCD is 10x^4 + 30x^3 - 90x^2 - 270x

2. Where can I get the detailed solution for Finding LCM of Polynomials 2x^2-18, 5x^3+30x^2+45x Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials 2x^2-18, 5x^3+30x^2+45x Using GCF?

3. How to Find Least Common Multiple of 2x^2-18, 5x^3+30x^2+45x with GCF method?

You have to find GCF of polynomials 2x^2-18, 5x^3+30x^2+45x and then multiply all the polynomials. Now,