Large- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>N</mml:mi> </mml:math> Free Energy of Chiral <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="script">N</mml:mi>

We present the first successful large-N computation of the S^{3} free energy in chiral N=2 Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling F_{S^{3}}∼N^{3/2}. Using a stable numerical continuation method that directly solves the saddle-point equations, we obtain convergent large-N solutions for benchmark chiral quivers, including the holographic dual to AdS_{4}×Q^{1,1,1}/Z_{k} and D_{3} models. The resulting free energies precisely match the holographic predictions, resolving a decade-old puzzle in AdS_{4}/CFT_{3} and establishing a practical numerical framework for precision holography in strongly coupled gauge theories.