Question

Which expression is the LCD of these fractions?

6/5x^4y, 8/19xy^2, 12/2xy
A. 190x^6y^4
B. 190x^4y^2
C. 190x^4y
D. 190xy

Answer 1

To determine the LCD of the fractions, factor the denominators. Multiply the factors obtained; however multiply only once the common factors.
For the numerical coefficients: 5 , 19, and 2, the least common multiple is 190. For the variables involving x: x^4 , x, and x, the least common multiple is x^4. That of the variables involving y: y, y² and y is y². Thus, the answer is letter C.