Finding the LCM of Rational Expressions

The smallest positive number that is a multiple of two or more numbers

• Least Common Multiple (LCM)

• Greatest Common Factor (GCF)

• Vertical Asymptote (VA)

• Point of Discontinuity (POD)

When adding and subtracting rational expressions, my first step should be to:

• Combine like terms in the numerators.

• Determine a Least Common Denominator.

• Factor all of the numerators and all of the denominators.

• Change the operator to multiplication and reciprocate the second fraction.

Find the LCD of the following rational expressions
2x/(x+1) and (x²-1)

• (x+1)(x-1)

• (x+1)² (x-1)

• (2x+2)

Find the least common denominator of the expression

• 18

• 6x

• 3xy

• 6xy

• (x+1)(x-1)

• (x+1)² (x-1)

• (2x+2)

• (x+1)(x²-1)

Find the LCD of these fractions.

• (x+2)(x-2)

• (x+2)

• (x-2)

• (x²-4)(x+2)

Find the LCD of these fractions.

• (x+2)(x-2)

• (x+2)(x+1)

• (x+2)(x-2)(x+1)

• (x-2)(x+1)

What is the least common multiple of x²-16 and x²+4x-32? HINT: Think least common denominator!

• (x + 4)(x – 4)(x + 8)

• (x-4)2 (x+8)

• (x + 4)(x – 4)

• (x - 4)(x-4)2(x + 8)

What is the least common multiple of 3x² - 27 and 5x²+10x-75?

HINT: Think least common denominator!

• 3(x+3)(x-3)(x+5)

• 15(x+3)(x+3)(x+5)

• 15(x+3)(x-3)(x+5)

• 5(x+3)(x-3)(x+5)