How do you find the LCM for #3#, #4w+2# and #4w^2-1#?
One way is to factor each of them completely, then multiply the non-duplicated factors together. I say non-duplicated, but if a factor is repeated in one of the factorisations of the starting expressions, then it has to occur at least that many times in the LCM.
So the unique factors are:
None of these factors occurs in one of the original expressions with a multiplicity greater than