Answer: 600
Explanation:
To find the smallest number that can be divided evenly by 100, 150, and 200, we need to find their least common multiple (LCM).
To find the LCM of these numbers, we can follow these steps:
Step 1: Prime factorize each number:
100 = 2^2 * 5^2
150 = 2 * 3 * 5^2
200 = 2^3 * 5^2
Step 2: Identify the highest power of each prime factor that appears in any of the numbers:
2^3 * 3 * 5^2
Step 3: Multiply the prime factors identified in Step 2:
2^3 * 3 * 5^2 = 8 * 3 * 25 = 600
Therefore, the smallest number that can be divided evenly by 100, 150, and 200 is 600.