Olympiad Geometry · Hard problem

$\dfrac{7 \cdot 2^{\dfrac{109}{529}} \cdot 3^{\dfrac{355}{529}} \cdot 5^{\dfrac{87}{529}} \cdot 7^{\dfrac{434}{529}}}{15}$

$\dfrac{29}{6}$

$\dfrac{65}{2}$

$\dfrac{65}{12}$

$3$