Firstly, the antenna must be mounted vertically (just stating the obvious) for an omnidirectional pattern.
By "FM", I am assuming that you mean signals around 100MHz. (FM refers to the modulation system and not the carrier frequency).
The range of such signals is very much determined by the antenna height above ground. Reliable propagation is largely limited to the Horizon. A hand held 5W transmitter (150MHz) has a usable range of a few km from the deck of a yacht. Put an antenna at the top of a 10m mast and the range extends to 20km or more because the horizon is that much further away.
Local features (hills, in particular) can affect things greatly. Also, the location and height of the receiver is just as relevant as for the transmitter. So, I'm afraid there isn't a definite answer to this question. It is quite possible to communicate over much more than 20km (like from Brittany to Portsmouth) on occasions but other times it's hard to hear a boat that is actually visible. Some radio hams spend their lives trying to get as far as possible (DX) with a low power as possible. You'd be amazed at the distances covered at times.
Most transmitting (comms) antenna tend to be vertical monopoles because they can be mounted at the top of a structure. Dipoles are harder to feed because they need a mast to support them from the side, which gets in the way and the feed cable acts as a reflecting element, too. Both of these effects will spoil the omnidirectional radiation pattern.