What is the least common multiple of 6, 11, and 18?

Since 18 is divisible by 6, it is the least common multiple (LCM) of 6 and 18.

Since there are no factors that 18 and 11 have in common (apart from 1), multiply the two numbers to find their LCM.

Verify if 198 can be divided by 6, 11, and 18.

To find the least common multiple (LCM) of 6, 11, and 18, we first need to factor each number into its prime factors:

6 = 2 * 3 11 = 11 (11 is a prime number) 18 = 2 * 3^2

Now, we identify the highest power of each prime factor that appears in any of the numbers:

2 appears in the factorization of 6 and 18, with the highest power being 2^1. 3 appears in the factorization of 6 and 18, with the highest power being 3^2. 11 appears only once in the factorization of 11. Multiply these highest powers together to find the LCM:

LCM = 2^1 * 3^2 * 11 = 2 * 9 * 11 = 198

Therefore, the least common multiple of 6, 11, and 18 is 198.