(1+a+b+c)(1+ 1/a +1/b +1/c )= 16 then find a+b+c. Show the method

LOL

try a+b+c = 3

try a = 1

b+c = 2

let b= 1 and c = 1

(1+1+1+1)(1+1+1+1) = 4*4 = 16