Easy, right?

Algebra Level 5

\[\large \sum\limits_{i=1}^{27} \left(x_i+\frac{1}{x_i}\right)^2\] If all \(x\) are positive reals satisfying \(\displaystyle \sum\limits_{i=1}^{27} x_i = 30\), find the minimum value of the expression above, round to the nearest integer

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