Motor coils do have inductance, but there are problems with using this in the way you mention.
Firstly, the inductance is going to be very high. A fan motor I have measures 2 Henrys which would not be suitable for typical L/C circuits.
Also, the inductance will change with frequency due to the properties of the iron core.
And the iron core will become quite lossy as the frequency rises.
However, if the motor is faulty or no longer required, it would be possible to use some of the wire from it to make inductors. Field coil wire may be easy to remove.
Many other discarded appliances will either have usable wire or usable inductors in them. Computer power supplies and old radios are especially good for this.
The following article in Wikipedia gives some formulae for calculating inductance from the dimensions of a coil.:
http://en.wikipedia.org/wiki/Inductor
That is a good resource. I've never seen some of those formulae before.
Measuring inductance is not easy. You need at least a suitable signal generator and preferably an oscilloscope. The AC voltage reading on a multimeter would probably not be much use at high frequencies.
To do the measurement, you could put the inductor in series with known capacitor and apply a signal generator to the series combination. Then measure the voltage across either the capacitor or the inductor and tune the signal generator for a maximum. Use this resonant frequency to calculate the inductance.