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Finding LCM of Polynomials 2k^2+k-1, 14k^2-7k 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 2k^2+k-1, 14k^2-7k Using GCF. The tool will give you the result 14k^3 + 7k^2 - 7k 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 2k^2+k-1, 14k^2-7k Using GCF

The given Expressions are 2k^2+k-1,14k^2-7k

2k^2+k-1 has factors i.e (k + 1)(2k - 1)
14k^2-7k has factors i.e 7k(2k - 1)

By finding the GCF of given expressions we get that the gcf is 2k - 1

There are 2 number of expressions are given.

To find the LCM we have to first multiply all the expressions (2k^2+k-1)(14k^2-7k) = 28k^4 - 21k^2 + 7k

To find the LCM we have devide 2-1 power of gcf from 28k^4 - 21k^2 + 7k

So by dividing 2k - 1 from 28k^4 - 21k^2 + 7k = (28k^4 - 21k^2 + 7k)/(2k - 1) = 14k^3 + 7k^2 - 7k

So the LCM of 2k^2+k-1,14k^2-7k is 14k^3 + 7k^2 - 7k

FAQS on Finding LCM of Polynomials 2k^2+k-1, 14k^2-7k Using GCF

1. What is the LCM of Polynomials 2k^2+k-1, 14k^2-7k Using GCF?

The least common multiple of Polynomials 2k^2+k-1, 14k^2-7k Using GCD is 14k^3 + 7k^2 - 7k

2. Where can I get the detailed solution for Finding LCM of Polynomials 2k^2+k-1, 14k^2-7k Using GCF?

Check factorpolynomials.com site to know the detailed solution of LCM of Polynomials 2k^2+k-1, 14k^2-7k Using GCF?

3. How to Find Least Common Multiple of 2k^2+k-1, 14k^2-7k with GCF method?

You have to find GCF of polynomials 2k^2+k-1, 14k^2-7k and then multiply all the polynomials. Now,