Assuming it's running on a 9V battery like most multimeters are, and the setting is on MegaOhms.
How much current will be drawn from the internal battery?
Electronic – How much current does a typical multimeter draw to measure resistance
batteriescurrent measurementmultimeterresistance
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Best Answer
Technically, voltage cannot be drawn because its a potential energy between 2 points like gravitational pull. Thus, when the multimeter probes is placed on the resistor, it would draw the full voltage of the battery, the thing that is drawn would be current which causes the galvanometer on the multimeter to deflect.
*edit You could probably use another multimeter to measure the current draw by connecting it in series with the element you are measuring.