What is the LCM of 10, 15, and 20?

To find the LCM (Least Common Multiple) of 10, 15, and 20, we can start by finding the prime factorization of each number:

• 10 = 2 × 5
• 15 = 3 × 5
• 20 = 2 × 2 × 5

Then, we can take the highest power of each prime factor that appears in any of the numbers, and multiply them together:

• The highest power of 2 is 2² = 4 (from 20)
• The highest power of 3 is 3¹ = 3 (from 15)
• The highest power of 5 is 5¹ = 5 (from 10 and 15 and 20)

Therefore, the LCM of 10, 15, and 20 is:

LCM(10, 15, 20) = 2² × 3¹ × 5¹ = 60

So the LCM of 10, 15, and 20 is 60.