This is a plain listing of specifications of (K-Type) Thermocouple that known vendors ship together with their multimeter or clamp on meter.
Agilent / Keysight : U1186A
The operating range for the thermocouple is from -20°C to 200°C.
Accuracy: ±1.1°C.
FLUKE 80BK-A
The operating range for the thermocouple is from -40 to 260ºC.
Accuracy: ±2.2°C.
BRYMEN BKP60(K)
The operating range for the thermocouple is from -25°C to 250°C.
HIOKI DT4910 Thermocouple
The operating range for the thermocouple is from -40°C to 260°C.
(identical product design to FLUKE 80BK-A)