Find the LCM of Denominators: 3, 5, 12, and 15

Given four denominators, what is their least common multiple?

3   5   12   15 \boxed{3}~~~\boxed{5}~~~\boxed{12}~~~\boxed{15}

❤️ 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

Given four denominators, what is their least common multiple?

3   5   12   15 \boxed{3}~~~\boxed{5}~~~\boxed{12}~~~\boxed{15}

2

Step-by-step solution

To find the least common multiple (LCM) of 3, 5, 12, and 15, we identify their prime factors:

3=33 = 3

5=55 = 5

12=22×312 = 2^2 \times 3

15=3×515 = 3 \times 5

The LCM is obtained by taking the highest power of each prime:

22×3×5=602^2 \times 3 \times 5 = 60

3

Final Answer

60

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