# 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 $$\frac{a+b+c}{\pi}?$$

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