Respuesta :

The LCM is 2^3*5*9=360

Answer:

The least common multiple is 360.

Step-by-step explanation:

The prime factorization of 8 is 2 × 2 × 2 = 2³

The prime factorization of 9 is 3 × 3 = 3²

The prime factorization of 20 is 2 × 2 × 5 = 2² × 5¹

For each prime factor (i.e., 2, 3, and 5), find where it occurs most often and write that value in a new list:

2³ × 3² × 5¹ = 2 × 2 × 2 × 3 × 3 × 5 = 360