The present invention provides, among other things, methods of purifying messenger RNA (mRNA) including the steps of (a) precipitating mRNA from an impure preparation; (b) subjecting the impure preparation comprising precipitated mRNA to a purification process involving membrane filtration such that the precipitated mRNA is captured by a membrane; and (c) eluting the captured precipitated mRNA from the membrane by re-solubilizing the mRNA, thereby resulting in a purified mRNA solution. In some embodiments, a purification process involving membrane filtration suitable for the present invention is tangential flow filtration.