Sum of Periods

Geometry Level pending

The periods of three functions \[y=\left|\sin \frac{x}{7}\right|, y=\cos \left|\frac{x}{10}\right|, y=\left|\tan \frac{x}{6}\right|\] are \(a\), \(b\) and \(c,\) respectively. What is \(\frac{a+b+c}{\pi}?\)