Find the LCM of Three Numbers: 5, 10, and 20

Question

What is the least common multiple of:

5   10   20 \boxed{5}~~~\boxed{10} ~~~\boxed{20}

Step-by-Step Solution

To find the least common multiple (LCM) of 5 5 , 10 10 , and 20 20 , find their prime factorizations:

5=5 5 = 5

10=2×5 10 = 2 \, \times \, 5

20=22×5 20 = 2^2 \, \times \, 5

× \times The LCM is determined by selecting the greatest power of each prime number:

22 2^2 from 20 and 5 5 .

The LCM is 22×5=4×5=20 2^2 \, \times \, 5 = 4 \, \times \, 5 = 20 .

Answer

20