The circuit WILL NOT WORK because pin 8 of the LM3914 is not connected to anything (it should connect to ground).
The total resistance from pin 7 to ground is 1k ohms in parallel with the transistors and 680 ohm resistor that causes a max output current of the LM3914 to be about 22mA for each output. Then the total output current is 220mA if there are no LEDs and the fan is a short circuit. But the LEDs and saturation voltage loss of the LM3914 reduce the max voltage to the fan to about 9V then its max current might be about 150mA.
If the fan gets 9V then the outputs of the LM3914 are saturaterd with a low voltage drop so they operate cool.