Find the LCM of $$ab^2c^2, a^2bc \, \text{and }\,a^3b^3c^2$$​​

Correct option is A

Given:
​$$ab^2c^2\\a^2bc\\ a^3b^3c^2\\$$​​
Formula Used:
The LCM of algebraic expressions is determined by taking the highest powers of all the variables that appear in the expressions.
Solution:
For the LCM, take the highest powers of each variable:
Highest power of a: $$a^3$$​​
Highest power of b: $$b^3$$​
Highest power of c: $$c^2$$​
The LCM is $$a^3b^3c^2.$$​​