Find the LCM of 100, 200, and 24.

Sure, here are the steps to find the LCM (Least Common Multiple) of 100, 200, and 24:

Step 1: Prime factorize the numbers.

• Prime factors of 100 = 2^2 * 5^2
• Prime factors of 200 = 2^3 * 5^2
• Prime factors of 24 = 2^3 * 3

Step 2: For each prime number, take the highest power of that prime number from the prime factorization of each number.

• For 2, the highest power is 3 (from 200 and 24)
• For 3, the highest power is 1 (from 24)
• For 5, the highest power is 2 (from 100 and 200)

Step 3: Multiply these highest powers together.

• LCM = 2^3 * 3^1 * 5^2 = 8 * 3 * 25 = 600

So, the LCM of 100, 200, and 24 is 600.