Volt meters these days have an internal resistance in the Meg Ohms per volt range.
Go to TasteYourJuice.com and watch the video of Phil's new Mech tester, a more accurate way to get consistent results regarding how good a Mech is.
Edit:
I should add that analog meters like you might find in the automotive section of some stores typically have an internal resistance of 20,000 ohms per volt.