What is the least common multiple of 30 50 and 200?

The LCM is 600.

Prime factors of 30 are 2 x 3 x 5, of 50 are 2 x 52, and of 200 are 23 x 52 LCM is 600, which is the multiple of the highest power of prime factors in the given numbers (23 x 3 x 52 = 8 x 3 x 25 = 600).