Find the LCD of the rational expressions in the list.
-$$\frac { 1 } { 63 x } , \frac { 1 } { 9 x ^ { 2 } } , \frac { 1 } { 7 x ^ { 3 } }$$
A) $63 x ^ { 2 }$
B) $63 x ^ { 3 }$
C) $7 x ^ { 3 }$
D) $63 x ^ { 5 }$

Question

Quizplus · Accepted Answer

The LCD of the given rational expressions is the least common multiple of their denominators. The denominators are $63x$, $9x^2$, and $7x^3$. The prime factorization of 63 is $7 \times 9$ (or $7 \times 3^2$), and since $9x^2$ is $3^2x^2$ and $7x^3$ is already in prime factored form, the least common multiple must include each prime factor to the highest power it appears in any of the denominators. Thus, the LCD is $7 \times 3^2 \times x^3 = 63x^3$.

Find the LCD of the Rational Expressions in the List 163x,19x2,17x3\frac { 1 } { 63 x } , \frac { 1 } { 9 x ^ { 2 } } , \frac { 1 } { 7 x ^ { 3 } }63x1​,9x21​,7x31​

Find the LCD of the Rational Expressions in the List $\frac { 1 } { 63 x } , \frac { 1 } { 9 x ^ { 2 } } , \frac { 1 } { 7 x ^ { 3 } }$