I notice you have multiple answers, and for each one you've asked again 'Is it okay to consider that when DC is passed through LCR circuit V=IR where R is the resitance of the resistor and I is the current.'
The reason you haven't got that question answered is that you haven't supplied a circuit diagram of the RLC circuit you mean, despite being asked for that in comments to your question.
Consider the following 3 RLC circuits
simulate this circuit – Schematic created using CircuitLab
They all have different assymptotic behaviour at \$\omega\$=0.
Circuit 1, which matches the equation you have put in your question, goes to infinite impedance at \$\omega\$=0, because of the capacitor term you correctly identified. Interestingly, it also goes to infinite impedance at \$\omega\$=\$\infty\$. It goes to impedance R at the LC resonance, when the L and C terms cancel each other out.
Circuit 2 has a different impedance equation, because it's a different topology. That goes to infinity at the LC resonance. At zero and infinity frequency, either the L or C is a short circuit, and then, indeed, the DC current passed through the LCR circuit V=IR where R is the resistance of the resistor and I is the current.
Circuit 3 is an all parallel arrangement, which has a yet different impedance equation. This goes to R at the LC resonance frequency, and to zero at either zero or infinite frequency.