1/a+2/b+3/c=(a+2b+3c)/a+2(a+2b+3c)/b+3(a+2b+3c)/c=14+(2b+3c)/a+2(a+3c)/b+3(a+2b)/c=14+(2b+3c)/a+2(a+3c)/b+3(a+2b)/c=14+2b/a+3c/a+2a/b+6c/b+3a/c+6b/c=14+2b/a+2a/b+3c/a+3a/c+6b/c+6c/b>=14+4+6+12=361/a+2...