What is the LCM of 108 135 and 162?

To find the Least Common Multiple (LCM) of three numbers, you first need to find the prime factorization of each number. The prime factorization of 108 is 2^2 * 3^3, the prime factorization of 135 is 3^3 * 5, and the prime factorization of 162 is 2 * 3^4. Then, you take the highest power of each prime factor that appears in any of the factorizations, which gives you 2^2 * 3^4 * 5 = 540. Therefore, the LCM of 108, 135, and 162 is 540.