Find the least common denominator (LCD). $$\frac { 2 } { 3 x } , \frac { 5 } { 14 x ^ { 3 } } , \frac { - 2 } { 7 x ^ { 2 } }$$
A) $3 x$
B) $42 x ^ { 3 }$
C) $42 x$
D) $294 x ^ { 6 }$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) is found by taking the least common multiple (LCM) of the denominators. The denominators are $3x, 14x^3, 7x^2$. The LCM of the numerical coefficients (3, 14, 7) is 42, and the highest power of $x$ present in the denominators is $x^3$. Therefore, the LCD is $42x^3$.

Find the Least Common Denominator (LCD) 23x,514x3,−27x2\frac { 2 } { 3 x } , \frac { 5 } { 14 x ^ { 3 } } , \frac { - 2 } { 7 x ^ { 2 } }3x2​,14x35​,7x2−2​

Find the Least Common Denominator (LCD) $\frac { 2 } { 3 x } , \frac { 5 } { 14 x ^ { 3 } } , \frac { - 2 } { 7 x ^ { 2 } }$