If \(a, b\) and \(c\) are all positive integers, and \(2a=7b=8c,\) then what is the LEAST possible value of \(a+b+c?\)

[Vincen]

If \(a, b\) and \(c\) are all positive integers, and \(2a=7b=8c,\) then what is the LEAST possible value of \(a+b+c?\)

A. 26
B. 34
C. 43
D. 50
E. 86

Answer: C

Source: EMPOWERgmat