how to calculate the exact frequency of this FM transmitter?

So you used a 100,000pF ceramic capacitor in place of a 6 to 60pF variable? So I'd say the frequency is 0Hz, because it won't oscillate.

As for the coil, there is no way anyone can tell you the inductance with the information you gave.

This is a rather unstable oscillator, for the reasons given. Pretty much anything you change that is connected to Q2 (including the battery condition) will change the frequency. You can get close by calculating the resonance of C5 and L1, although the frequency will be something lower than that due to the feedback capacitor C6 and the transistor's operating point characteristics.

So the only way to know for sure is either tune a radio into its signal, or use a frequency counter. If you connect an oscilloscope probe or anything else directly to it, you'll lower the frequency.

What a horrid schematic. Terrible place to draw a (wasteful) power LED. And the LED is pointing the wrong way.