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If f(x) = (x^2 + 3x + a), g(x) = (x^2 + ...

If `f(x) = (x^2 + 3x + a), g(x) = (x^2 + 5x + b), h(x) = (x^2 + 4x + c)` and LCM of `[f(x), g(x) and h(x)]` is `(x + 1) (x + 2) (x + 3)`, then find (a - b + c).

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The correct Answer is:
`-1`
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