Finding the LCM of 10, 6, and 8 is one of those essential arithmetic tasks that appears in everything from elementary math homework to real-world scheduling problems. The least common multiple, or LCM, is the smallest positive number that divides evenly by each number in a given set. For the numbers 10, 6, and 8, the answer is 120. Understanding how to arrive at that result—and why it matters—builds a strong foundation in number theory and prepares students for more advanced topics like fractions, ratios, and algebraic expressions Easy to understand, harder to ignore..
What Is the LCM of 10, 6, and 8?
The LCM of 10, 6, and 8 is 120. This means 120 is the smallest number that 10, 6, and 8 can all divide into without leaving a remainder. You can verify this quickly:
- 120 ÷ 10 = 12
- 120 ÷ 6 = 20
- 120 ÷ 8 = 15
No smaller positive number shares this property
