[Electronic M]

That DMM only has DC current measuring capability...There is no DC current in normal AC mains power so the readings you are getting are predictably meaningless.

If you have a 5W or more resistor that is say 1 Ohm, then you can connect it in parallel with the meter (and put both of those in series with the line), set the meter to AC volts and read current....This is relying on ohms law: V=IR voltage equals current times resistance. A resistor anywhere between 0.01 and 10 ohms will work, as long as it's power rating is high enough to handle the current the set draws. Also go with 1*10^whole integer number (ie. 0.01, 0.1, 1) to make the math easier...Basically if you do that the AC voltage on the meter will be the AC current only the decimal point may be shifted.

Or you could skip that whole rigamarole and use your other meter if it happens to have an 10A AC current setting...

Good luck.

PS: Power = R(I^2) on that resistor. Power also = VI. So to find a safe resistor power rating divide the TVs rated power by your line voltage to get the designed current draw of the set then multiple that value by 1.2 for 20%-over-current safety margin or as much as 1.5 (for 50% over current) then plug that current and the resistance of the line current sensing resistor into the first equation in this paragraph to get the power rating you want that resistor to have.
The resistor power rating can be as much as 50% lower than that calculated power and still work for maybe 5 minutes before the smoke is released if you don't have a high enough power resistor.