An a-priori analysis of the filtered reaction rate [GRAPHICS] closure based on Favre-filtered scalar dissipation rate (SDR) [GRAPHICS] for large eddy simulations (LES) of turbulent premixed combustion has been conducted using a direct numerical simulation (DNS) database of freely propagating statistically planar flames for a range of different values of heat release parameter tau, global Lewis number Le, and turbulent Reynolds number Re-t. It has been found that an existing SDR based reaction rate closure for Reynolds averaged Navier-Stokes (RANS) simulations is also valid for LES, when the filter width [GRAPHICS] is larger than the flame thickness. This RANS-based reaction rate closure has been extended here for LES, and a satisfactory performance of this LES closure is observed for the values of filter widths, tau, Le, and Re-t investigated here. A-priori DNS assessment of the SDR closures based on passive scalar mixing model and a power-law has been conducted. Moreover, an existing algebraic model of Favre-averaged SDR for RANS simulations has been extended here for LES. The performances of the algebraic closures of [GRAPHICS] have been assessed with respect to Favre-filtered SDR extracted from the DNS data. It has been found that the newly proposed model for [GRAPHICS] , which was extended here for LES from an existing RANS-based closure, predicts both local and volume-averaged behaviors of SDR satisfactorily for a range of [GRAPHICS] for flames with different values of tau, Le, and Re-t. The sensitivity of sub-grid turbulent velocity fluctuation [GRAPHICS] modeling on the newly developed algebraic SDR closure has also been analyzed and it has been observed that the [GRAPHICS] modeling does not significantly affect the performance of the algebraic SDR model proposed in this study.