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

k,k,k

Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .

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.

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

Multiply each term in by in order to remove all the denominators from the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Simplify each term.

Cancel the common factor of .

Move the leading negative in into the numerator.

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Add and .

Rewrite the equation as .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Dividing two negative values results in a positive value.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Solve for k 6/k=-(3k-1)/k+9/k