Explanation

To find the LCM, break down the numbers into their prime factors:

12 = 2² * 3

15 = 3 * 5

20 = 2² * 5

30 = 2 * 3 * 5

Step 1: Identify the highest powers of prime factors

The highest power of 2 is 2² (from 12 and 20).

The highest power of 3 is 3 (from 12, 15, and 30).

The highest power of 5 is 5 (from 15, 20, and 30).

Step 2: Calculate the LCM

LCM = 2² * 3 * 5

= 4 * 3 * 5

= 60