If Carly, Brittany, and Lauren streamed one-fourth of the eight-episode documentary and they watched 70 minutes of it, we can determine how many minutes are in the entire documentary.
Let \( x \) be the total length of the documentary in minutes.
Since they watched one-fourth of the documentary, we have the equation:
\[ \frac{1}{4} x = 70 \]
To find \( x \), we can multiply both sides of the equation by 4:
\[ x = 70 \times 4 \]
Calculating the right side:
\[ x = 280 \]
Thus, the total length of the documentary is:
\[ \boxed{280} \text{ minutes} \]