\[ \large{\begin{array}{ccccccc} && & L & E& M & M&A\\ +&& & C & L& A & I&M\\ \hline & & & P & R& O & O&F\\ \hline \end{array}} \]

Above shows a cryptarithm such that each letter represent a distinct single non-negative integers with \(L,C\) and \(P\) are non-zero. Find the value of the 6-digit number: \(\overline{FORMAL} \).

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