what is the LCM?? and what is Excluded solutions???

Lets start by looking at the denominators. we will call them 1 2 and 3

1) x+6

2) 3x-18 which will factor to 3(x+6)

3) 4x+24 which will factor to 4(x+6)

Notice: x+6 is in each denominator. therefore (x+6) * 3*4 will be LCM

An excluded solution will be one in which the denominator = 0 (fraction is undefined when the denominator = 0 )

therefore x may never be equal to -6

That's it.