What is the LCM of 35 and 60 and 100?

To find the Least Common Multiple (LCM) of 35, 60, and 100, we need to first find the prime factorization of each number. The prime factorization of 35 is 5 x 7, 60 is 2^2 x 3 x 5, and 100 is 2^2 x 5^2. Then, we take the highest power of each prime factor that appears in any of the factorizations: 2^2 x 3 x 5^2 x 7 = 2^2 x 3 x 5^2 x 7 = 4200. Therefore, the LCM of 35, 60, and 100 is 4200.