Sampling $X$ having $F_X(x) = \prod_{i=1}^nF_{X_i}(x)$

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How can I use relation $F_X(x) = \prod_{i=1}^n F_{X_i}(x)$ to sample $X$ knowing it is easy to generate random variable form any distribution $F_{X_i} , i = 1 , \ldots , n$? Suppose $X_i$'s are independent random variables.