SOLUTION: Before checking with the caterer, a cook cuts cake into 35 equal pieces and an identical cake into 42 equal pieces. The caterer, however, insists that the cakes be cut exactly alik

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Question 618480: Before checking with the caterer, a cook cuts cake into 35 equal pieces and an identical cake into 42 equal pieces. The caterer, however, insists that the cakes be cut exactly alike. Into how many pieces must each cake now be cut?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
prime factors of 35 ___ 5, 7

prime factors of 42 ___ 2, 3, 7

smallest number with 35 and 42 as factors ___ 2 * 3 * 5 * 7 = 210