# How do you find the least common factor of a polynomial?

## How do you find the least common factor of a polynomial?

All you need to do is get the factors of each polynomial, multiply the common and remaining terms to get the L.C.M.

## What is the LCM of a set of polynomials?

To find the lowest common multiple (L.C.M.) of polynomials, we first find the factors of polynomials by the method of factorization and then adopt the same process of finding L.C.M.

How do you find the lowest common denominator of a polynomial fraction?

To find the LCD of two rational expressions, we factor the expressions and multiply all of the distinct factors. For instance, if the factored denominators were (x+3)(x+4) ( x + 3 ) ( x + 4 ) and (x+4)(x+5) ( x + 4 ) ( x + 5 ) , then the LCD would be (x+3)(x+4)(x+5) ( x + 3 ) ( x + 4 ) ( x + 5 ) .

How do you use least common denominator?

Explanation: To find the least common denominator, list out the multiples of both denominators until you find the smallest multiple that is shared by both. Because 28 is the first shared multiple of 4 and 7, it must be the least common denominator for these two fractions.

### What is a least common denominator and how do you determine the least common denominator in rational expressions?

The easiest common denominator to use will be the least common denominator or LCD. The LCD is the smallest multiple that the denominators have in common. To find the LCD of two rational expressions, we factor the expressions and multiply all of the distinct factors.

### How do you find a least common denominator?

To find the least common denominator, list out the multiples of both denominators until you find the smallest multiple that is shared by both. Because 20 is the first shared multiple of 4 and 5, it must be the least common denominator for these two fractions.

Who invented LCM?

mathematician Euclid
… algorithm, procedure for finding the greatest common divisor (GCD) of two numbers, described by the Greek mathematician Euclid in his Elements (c. 300 bc). The method is computationally efficient and, with minor modifications, is still used by computers.

What is least common multiple of polynomials?

Least Common Multiple (LCM) of Polynomials The Least Common Multiple of two or more algebraic expressions is the expression of lowest degree (or power) such that the expressions exactly divide it. Least Common Multiple (LCM) of Polynomials

## How do you factor a polynomial with a common factor?

When the terms of a polynomial have a common factor, the distributive law, is used to factor the polynomial. One factor is the greatest common factor of all the terms of the polynomial. The other factor is the entire quotient, obtained by dividing each term of the polynomial by the common factor; that is,

## What is the LCM of the given polynomial?

The LCM contains the highest number of each of the different factors in the given polynomials. The first polynomial has z to the first power; the second polynomial has z to the second power. So only a z^2 is required.

Which polynomial contains the highest number of factors?

The LCM contains the highest number of each of the different factors in the given polynomials. The first polynomial has z to the first power; the second polynomial has z to the second power. So only a z^2 is required. Comment on Judith Gibson’s post “The LCM contains the high…”