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Call A_{k+1}(N_1,...,N_{k+1}) the quantity in question. Ford established the order of magnitude of A_2(N_1,N_2) and the author of A_{k+1}(N,...,N) for all k>1. In the present paper we generalize these results by establishing the order of magnitude of A_{k+1}(N_1,...,N_{k+1}) for arbitrary choices of N_1,...,N_{k+1} when k is 2,3,4 or 5. 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