Find the LCM of 6a square , 8a , 4ab

1 answer

The prime factorization of 6a² is 2 × 3 × a × a.

The prime factorization of 8a is 2 × 2 × 2 × a.

The prime factorization of 4ab is 2 × 2 × a × b.

To find the LCM, we need to include all of the unique prime factors with the highest exponent:

2³ × 3 × a² × b = 24a²b

Therefore, the LCM of 6a², 8a, and 4ab is 24a²b.