# Find the LCD 7/(3x-15) and (3x)/(2x-10)

and

Simplify each polynomial.

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Factor out of .

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Factor out of .

Factor out of .

Factor out of .

Factor out of .

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Factor out of .

Factor out of .

Factor out of .

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

Since has no factors besides and .

is a prime number

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

Multiply by .

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.

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