11. A bag of grapes has more than one hundred. If only distributed to the choir group, each person gets 3, then 10 are left; if only distributed to the art group, each person gets 5, then 12 are left; if only distributed to the math group, each person gets 7, then 18 are left. This bag of grapes has at most

This bag of grapes has more than one hundred. If only distributed to the choir group, each person gets 3, then 10 are left; if only distributed to the art group, each person gets 5, then 12 are left; if only distributed to the math group, each person gets 7, then 18 are left. This bag of grapes has at most
【Analysis】This number, when divided by 3, leaves a remainder of 1; when divided by 5, leaves a remainder of 2; and when divided by 7, leaves a remainder of 4. The smallest such number is 67. Considering it is over a hundred, the grapes therefore total $67+105=172$.