LCM of 6v^2 x^5 and 4v^6 w^3 x^4

To find the least common multiple (LCM) of 6v^2 x^5 and 4v^6 w^3 x^4, we need to factorize both terms.

6v^2 x^5 = 2 * 3 * v^2 * x^5
4v^6 w^3 x^4 = 2 * 2 * v^6 * w^3 * x^4

Now, we find the LCM by taking the highest power of each prime factor that appears in either term:

LCM = 2^2 * 3 * v^6 * w^3 * x^5

Therefore, the LCM of 6v^2 x^5 and 4v^6 w^3 x^4 is 12v^6 w^3 x^5.