What is the lowest common multiple of 12, 36 and 20

To find the lowest common multiple (LCM) of 12, 36, and 20, follow these steps:

1. First, find the prime factors of each number.

   • The prime factors of 12 are 2, 2, and 3.
   • The prime factors of 36 are 2, 2, 3, and 3.
   • The prime factors of 20 are 2, 2, and 5.

2. Next, for each prime number, count the number of times it appears as a factor in each of the three numbers. Take the highest count for each prime number.

   • The number 2 appears twice in 12, twice in 36, and twice in 20. So, take two 2s.
   • The number 3 appears once in 12 and twice in 36 (it doesn't appear in 20). So, take two 3s.
   • The number 5 doesn't appear in 12 or 36, but it appears once in 20. So, take one 5.

3. Multiply these numbers together to get the LCM.

   • 2 * 2 * 3 * 3 * 5 = 180

So, the lowest common multiple of 12, 36, and 20 is 180.