Find the LCD. Do not combine fractions.
-$\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }$
A) $40 \mathrm { x } ^ { 4 } \mathrm { y } ^ { 3 }$
B) $40 x y$
C) $40 x ^ { 4 } y ^ { 2 }$
D) $40 \mathrm { xy } ^ { 3 }$

Question

Quizplus · Accepted Answer

The LCD must have the highest power of each variable present in any of the denominators and the least common multiple of the numerical coefficients. Here, the highest power of x is 4 (from $x^4$), the highest power of y is 3 (from $y^3$), and the LCM of 10 and 8 is 40. Therefore, the LCD is $40x^4y^3$.

Find the LCD 810xy3,28x4y2\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }10xy38​,8x4y22​

Find the LCD $\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }$