Question

\[\frac{4}{x}+\frac{2x}{x-1}+\frac{x+3}{2x}\]
Write factors of each fraction's denominator
\[x= x\]
\[x-1=x-1\]
\[2x= 2 \times x\]
\[LCM= ( common\ terms ) \times ( uncommon\ terms)\]
so
Common terms= x (in first and third)
Uncommon terms = x-1 and 2
so
\[LCM= x \times (x-1) \times 2\]