In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0, then what is the smallest possible value of N?
3/2 h/gp and 2/3 r/gp LCD is six gp
9/6 and 4/6 so I think 9 hamsters 6 gp and 4 rats= 19 total