Find the least common mutiple of 10x^2 and 6c^4

Answer 1

To find the least common multiple of 10x^2 and 6c^4, we first need to factorize each expression.

10x^2 = 2 * 5 * x * x
6c^4 = 2 * 3 * c * c * c * c

Then, we identify the common factors and the remaining factors after removing the duplicates:

The common factors are 2 and x^2.
The remaining factor for 10x^2 is 5.
The remaining factors for 6c^4 are 3 and c^2.

Therefore, the least common multiple of 10x^2 and 6c^4 is:

2 * 5 * x^2 * 3 * c^2
= 30x^2c^2