What is the LCM of 613 and 84?

What is the LCM of 613 and 84? The answer is 51492. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

How do I solve what is the lcm of 613 and 84??

Follow our step-by-step animated guide that breaks down the problem into simple, easy-to-understand steps.

What is LCM of 613, 84 | Prime factorisation, common factor

Prime Factorization Method

There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.

Find the prime factorization of each number:

613 = 613

84 = 2, 2, 3, 7

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 3^1 × 7^1 × 613^1$
To find LCM multiply these highest powers: LCM(613, 84) = $2^2 × 3^1 × 7^1 × 613^1$ = 51492

🎬Watch the Step-by-Step Animated Solution

Watch the process of finding the least common multiple of 613 and 84. Our animation shows multiple approaches, including listing multiples and using prime factorization, making it easy to understand this fundamental concept through visual demonstration.

What You'll Learn:

Calculate the least common multiple of 613 and 84
Learn different strategies: listing multiples and using prime factorization
Understand the relationship between LCM and GCF

Visual learners (65% of students) can watch the lcm process unfold rather than trying to imagine it from static text.

Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!

📖 Why This Specific Problem Matters

This animated solution addresses a critical gap in mathematics education: while teachers can demonstrate a few examples in class, students often struggle when practicing problems with different numbers at home. Our step-by-step animation for 613 lcm 84 provides instant, visual support for this EXACT problem - not just similar ones. This specificity is crucial for building confidence and understanding, especially for visual learners who need to see the process, not just read about it.

Step-by-step breakdown: Our animation breaks down 613 lcm 84 into clear, sequential steps that build understanding from foundation to solution.

Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 613 and 84 using the method of listing common multiples, follow these steps:

List some multiples of each number.
Identify the smallest multiple that is common to both lists.

Multiples of 613

613, 1226, 1839, 2452, 3065, 3678, 4291, 4904, 5517, 6130,…

Multiples of 84

84, 168, 252, 336, 420, 504, 588, 672, 756, 840,…

Common multiples

Identify the common multiples from the lists above: 51492, 102984,…

The smallest common multiple is 51492.

The LCM of 613 and 84 using the common multiples method is 51492.

Review Sub Calculations

Time for More Practice

Learn More About This Problem

🌍 Real-World Example

Real-world example for 613 lcm 84

Teaching Tip

💡 Teaching tip: Practice this lcm problem with objects around you to understand it better!

🔗 Related Concept

Explore related lcm problems to build mastery!

📚 Difficulty Level: Grade 6-8: Middle School

Explore Other Topics

Discover related mathematical topic and practice problems to expand your understanding. Each topic includes carefully selected examples to help you master the subject.

What is the LCM of 613 and 84?

Answer: The LCM of 613 and 84 is 51492