Let $\lambda > 0$ be in $\mathbb{R}$. If $\alpha$ and $\beta$ are the roots of the equation $x^2 - x + 2\lambda = 0$ and $\alpha$ and $\gamma$ are the roots of the equation $3x^2 - 10x + 27\lambda = 0$, then $\frac{\beta\gamma}{\lambda}$ is equal to: