1.

Let f_(i)(x)=sin(2p_(i)x) for i=1,2,3 & p_(i) in N. If is given that the fundamental periods of f_(1)(x)+f_(2)(x)+f_(3)(x), f_(1)(x)+f_(2)(x) and f_(1)(x)+f_(3)(x) are pi, (pi)/(3) respectively, then the minimum value of p_(1)+p_(2)+p_(3) is

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