First, factor the second term:
x2 - 9 is a difference in squares so it equals (x + 3)(x - 3)
This means the terms are now:
(x - 3)2 , (x + 3)(x - 3) , (x + 3)2 , and (x - 1)2
Now the factors of these terms are: (x - 3) , (x + 3) , and (x - 1)
The least common multiple (LCM) is just the term with the largest power that holds these factors.
This means the LCM is (x - 3)2(x + 3)2(x - 1)2, which is also your answer :)
Answer: (x-1)^2*(x-3)^2*(x+3)^2
https://www.polymathlove.com/special-polynomials/least-common-measure/lcm-of-polynomials-calculator.html#c=lcm_algstepslcm&v230=%2528x%2520-%25201%2529%255E2%252C%2520%2528x%2520%2B%25203%2529%255E2%252C%2520%2520x%255E%25282%2529-9%252C%2520%2528x-3%2529%255E2