The simple DMMs use mainly one of 2 type of input dividers:
1) A divider with 10 M total resistance and a very high impedance (> 1 GOhm) amplifier from one of the taps. To input impedance is essentially constant, the extra amplifier impedance would be in parallel in the lowest range, but that would be only a < 1 % change.
2) A kind of inverting amplifier with a 1 M Resistor at the input. The feedback Resistor is switched to adjust the gain of the initial stage, that can very well be smaller than 1.