Find the least common denominator of the rational expressions.
-$\frac { 2 } { 25 x ^ { 3 } }$ and $\frac { 5 } { 15 x ^ { 7 } }$
A) $25 x ^ { 7 }$
B) $75 \mathrm { x } ^ { 10 }$
C) $75 x ^ { 7 }$
D) $75 x ^ { 3 }$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators. For $\frac{2}{25x^3}$ and $\frac{5}{15x^7}$, the denominators are $25x^3$ and $15x^7$. The LCM of 25 and 15 is 75, and the highest power of $x$ in the denominators is $x^7$, making the LCD $75x^7$.

Find the Least Common Denominator of the Rational Expressions 225x3\frac { 2 } { 25 x ^ { 3 } }25x32​

Find the Least Common Denominator of the Rational Expressions $\frac { 2 } { 25 x ^ { 3 } }$