Answer
LCD = $2100x^2y^4z$
$\frac{112x^3z^2}{2100x^2y^4z}$
$\frac{225y^2}{2100x^2y^4z}$
Work Step by Step
The first thing we want to do is to factor each denominator completely:
$\frac{2 • 2 • 2 • 2 • x • z}{3 • 2 • 2 • 5 • 5 • y^4}$
$\frac{3 • 3}{2 • 2 • 7 • 3 • x^2 • y^2 • z}$
Next, we want to take the highest power of each factor in the denominators:
LCD = $3 • 2^2 • 7 • 5^2 • x^2 • y^4 • z$
Multiply the factors out:
LCD = $3 • 4 • 7 • 25 • x^2 • y^4 • z$
Simplify:
LCD = $2100x^2y^4z$
Now that we have the least common denominator, we multiply the numerators of each fraction with the factors it is missing in the denominator:
$\frac{16 • x • z • 7 • x^2 • z}{2100x^2y^4z}$
$\frac{9 • 5^2 • y^2}{2100x^2y^4z}$
Simplify the fractions:
$\frac{112x^3z^2}{2100x^2y^4z}$
$\frac{225y^2}{2100x^2y^4z}$
