All elements in a group with certain order

Question

I'd like for some help with this question.

Let ${ G = \mathbb{Z}_{10} \oplus \mathbb{Z}_{12}}$.

1. What is the maximal order of an element in that group?

   My answer: $O(G) = l.c.m.[10,12] = 60$. (Does this answer correct?)

2. Find all the elements in $G$ of order 8 and all the elements in $G$ of order 6.

How can I find all the elements from the second question?