Catalysis of the reaction: GDP-beta-L-fucose + beta-D-galactosyl-(1,4)-N-acetyl-D-glucosaminyl-R = GDP + 1,4-beta-D-galactosyl-(1,4)--N-acetyl-D-glucosaminyl-R.
GDP-beta-L-fucose:1,4-beta-D-galactosyl-N-acetyl-D-glucosaminyl-R 3-alpha-L-fucosyltransferase activity