Mathematics

Mathematics

Problem

If p,q,rp, q, r are prime numbers and α,β,γ\alpha, \beta, \gamma are positive integers such that L.C.M of α,β,γ\alpha, \beta, \gamma is p3q2rp^3 q^2 r and greatest common divisor of α,β,γ\alpha, \beta, \gamma is pqrpqr, then the number of possible triplets (α,β,γ)(\alpha, \beta, \gamma) will be:

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