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A parallel distributed CUDA implementation of a Lattice Boltzmann Method for multiphase flows with large density ratios is described in this paper. Validation runs studying the terminal velocity of a rising bubble under the effect of gravity show good agreement with the expected theoretical values. The code is benchmarked against the performance of a typical CPU implementation of the same algorithm on both AMD and Intel platforms, and a single GPU is observed to perform up to 10X faster than a quad-core CPU socket, a 40X speedup with respect to a single core. The code is shown to scale well when executed on multiple GPUs, which makes the port to CUDA valuable even when compared to parallel CPU implementations.