Calculate LCM: Finding the Least Common Multiple of 9, 4, and 6

Calculate the least common multiple (LCM) for these numbers:

9   4   6 \boxed{9} ~~~ \boxed{4} ~~~ \boxed{6}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate the least common multiple (LCM) for these numbers:

9   4   6 \boxed{9} ~~~ \boxed{4} ~~~ \boxed{6}

2

Step-by-step solution

To find the least common multiple (LCM) of the numbers 9, 4, and 6, use their prime factors:

Prime factors of 9: 9=32 9 = 3^2

Prime factors of 4: 4=22 4 = 2^2

Prime factors of 6: 6=21×31 6 = 2^1 \times 3^1

The LCM is the product of the highest powers of all prime factors:

22×32=4×9=36 2^2 \times 3^2 = 4 \times 9 = 36

3

Final Answer

36

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Simple Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations