From the prime factorization of 49, we get 7*7. From 196, we get <span>2*2*7*7. From 343, we get 7*7*7. The greatest "overlap" or common factors are 7*7, or 49.</span>
Just add them all:(FYI, I first converted all the mixed fraction to improper) 11/3+19/3= 30/3+9/2 Now take out the LCM, 60/6+27/6= 87/6 Hence, the total number of cups that peter makes is 87/6