The resistor in series with an LED limits the current, it does not drop the voltage. An LED has its own voltage and could be powered from thousands of volts if the current-limiting resistor is calculated correctly.
If you connect fifteen 3.5V LEDs in series then you need 15 x 3.5= 52.5V (or more) for them plus about 5V for the single current-limiting resistor.
I don't think you have 57.5V or more.
Why did you make this new thread? It has no circuit description and no schematic so we don't know what you are talking about.