Answer: Option B.
Step-by-step explanation:
Descompose the denominator of each fraction into its corresponding prime factors. Then:
[tex]2=2*1\\8=2*2*2=2^3\\10=2*5[/tex]
Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.
Finally you need to multiply them to get that the Least common denominator of [tex]\frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10}[/tex] is. Therefore, this is:
[tex]LCD=2^3*1*5\\LCD=40[/tex]
This matches with the option B.
