Measuring voltage with different voltmeters in parallel - influences?
Theoretically, if the internal resistances of the meters were infinite it would make no difference.

However, since they are not infinite each meter draws a very small current from the battery. Since the battery has a terminal resistance, that means the more meters you add the lower the voltage that will be present at the terminals of the battery, and the lower the readings on the meters.

To be pedantic, the way you have shown them wired also means that there is three meter currents in the first wires, two in the second, and obviously one in the last. If there is any significant resistance in the wire, that would introduce additional voltage drops into the system.

But, unless you are using three really bad meters with horribly thin wires, or the battery resistance has gone really high, you should not notice much, if any, difference caused by the setup itself.

Of course, like the old adage.."Man with two watches never knows the right time.." Each meter will have it's own inaccuracy, and having three meters won't get you a better reading.