To find the LCM of 32, 48, 60, and 320, we can use the prime factorization method. Here are the steps:
- Find the prime factors of each number:
- 32 = 2 x 2 x 2 x 2 x 2
- 48 = 2 x 2 x 2 x 2 x 3
- 60 = 2 x 2 x 3 x 5
- 320 = 2 x 2 x 2 x 2 x 2 x 5
- Identify the highest power of each prime factor:
- 2^5
- 3^1
- 5^1
- Multiply the highest power of each prime factor:
- 2^5 x 3^1 x 5^1 = 480
Therefore, the LCM of 32, 48, 60, and 320 is 480.
