In a series LCR circuit, the voltage in the inductor leads the current in the resistor and the the voltage in the capacitor lags behind the current in the resistor. But what about the current in the resistor, inductor and capacitor?Are they in phase with each other? Also, is the current in the resistor in phase with the applied a.c current?Please forgive me if I have asked a silly question.

Further to the information provided in the above link, a point to remember is the current through each component in a series circuit arrangement will always be the same, hence Ic = Ir = Il in your RLC circuit. The magnitude and phase of the current will be dependant on the type and values of the components in the arrangements.