Answer
See explanations.
Work Step by Step
To find the least common denominator of several fractions, first factor each denominator, then identify common factors among denominators, the least common denominator will be the product of all the non-common factors and the common factors with the higher/highest order among all the denominators. For example, the first denominator can be factored as $(x+y)(x-y)^2$ and the second denominator can be factored as $(x+z)(x-y)$, the least common denominator will be $(x+y)(x-y)^2(x+z)$