To solve the equation
\[
\frac{4}{n} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c},
\]
let's first get a common denominator for the right-hand side. The common denominator for \( a \), \( b \), and \( c \) is \( abc \). Thus, we can rewrite the right-hand side:
\[
\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{bc}{abc} + \frac{ac}{abc} + \frac{ab}{abc} = \frac{bc + ac + ab}{abc}.
\]
Now we can rewrite the original equation as:
\[
\frac{4}{n} =