What is the Least Common Denominator of the fraction 2 over x plus the fraction x over x plus 1 plus the fraction x plus 1 over 3 x ?

Question

doc.brown · Answer

I'm thinking, multiply all the denominators together
$$\frac{2}{x}+\frac{x}{x+1}+\frac{x+1}{3x}$$$$3x^{3}+3x^{2}?$$

anonymous · Answer

@doc.brown  These are the options: 
 3x + 1

 3(x2 + 1)

 3(x + 3)

 3x(x + 1)

doc.brown · Answer

I found a way to multiply x, x+1, and 3x by things to get 3x(x+1)
x       (3(x+1) = 3x(x+1)
(x+1) (3x)      = 3x(x+1)
3x     (x+1)    = 3x(x+1)

I can't find what to multiply
x+1 with to get 3x+1
x+1 with to get 3(x2 + 1) or
x with to get 3(x + 3)