On the verge of puking Multiplication out

Logic Level 3

\[ \large{\begin{array}{ccccccc} && & & R &F \\ \times& & & & A&F\\ \hline & & & L & E&S\\ & & & E & L&\\ \hline & & & S & S&S\\ \end{array}} \]

Above shows a cryptogram, each letter represents a distinct digit. What is the value of \(R+A+F+F+L+E+S\)?


This question is adapted from the Raffles Institution Primary Maths World Competition (Raffles Institution is one of the most prestigious high school in Singapore!).
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