The standard form of a linear equation is .

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

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.

Since has no factors besides and .

is a prime number

The prime factors for are .

has factors of and .

has factors of and .

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

The LCM of is .

Multiply by .

Multiply by .

Multiply by .

Multiply both sides by .

Simplify each term.

Combine and .

Move to the left of .

Simplify terms.

Apply the distributive property.

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Add to both sides of the equation.

Reorder and .

Rewrite in Standard Form y=-2/5x+3/8