, ,

Simplify the denominator.

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Simplify the denominator.

Apply the distributive property.

Multiply by .

Subtract from .

Simplify the denominator.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Simplify with factoring out.

Factor out of .

Rewrite as .

Factor out of .

Rewrite negatives.

Rewrite as .

Move the negative in front of the fraction.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Since has no factors besides and .

is a prime number

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.

Find the LCD 3/((x-2)+x) , (3x)/(4x-(x-4)) , (6 square root of 2)/(x-(3x+1))