GO:0047276:   N-acetyllactosaminide 3-alpha-galactosyltransferase activity
Catalysis of the reaction: beta-D-galactosyl-(1,4)-beta-N-acetyl-D-glucosaminyl-R + UDP-galactose = alpha-D-galactosyl-(1,3)-beta-D-galactosyl-(1,4)-beta-N-acetyl-D-glucosaminyl-R + UDP.