Another note to complicate things even more. Measuring current "disturbs" the circuit. If your lucky, you shoud find a spec of maximum voltage burden. If it was 0.2V on the 200 mA scale, that would translate into a R=0.2/200mA or a 1 ohm resistor.
There are such things called a "feedback ammeter" which might have a voltage burden of a few mV. These are USUALLY reserved for low currents <10 mA.
A "decent" DMM will fuse the low current ranges. You might have a high current range that isn't fused (e.g. Fluke 77). The test time may also be required to be limited.