Let \( \lambda \neq 0 \) be in \( \mathbb{R} \). If \( \alpha \) and \( \beta \) are 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 ______________.
