BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon128 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

LCM of 2, 5, and 6

Professor Greenline Explaining Math Concepts

LCM of any two numbers is the least common multiple of two numbers. In our daily life, LCM is used for scheduling events, as distributing any items among others. In this topic, we will learn more about LCM of 2, 5, and 6.

LCM of 2, 5, and 6 for US Students
Professor Greenline from BrightChamps

What is the LCM of 2, 5, and 6

 What is the LCM of 2, 5, and 6
 

Professor Greenline from BrightChamps

How to find the LCM of 2, 5, and 6?

Out of many methods, prime factorization method is widely used for its easy approach. Here, we will learn about other methods as well. A few commonly used methods are as follows - 

 

 

  1. Listing Of Multiples
  2. Prime Factorization
  3. Division Method
     
Professor Greenline from BrightChamps

LCM of 2, 5, and 6 Using Listing the Multiples

Listing multiples can be a tedious method for finding the LCM. Here, the listing of multiples for all these 3 numbers is noted - 

 

 

  • Multiples of 2:2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
  • Multiples of 5:5, 10, 15, 20, 25, 30
  • Multiples of 6:6, 12, 18, 24, 30

 

Then we can see that out of 2, 5, and 6, 30 is the smallest common number that is present in them. So we see that 30 is the LCM of 2, 5, and 6.
 

Professor Greenline from BrightChamps

LCM of 2, 5, and 6 Using Prime Factorization

The product of the highest power of prime factors of 2, 5, and 6 is the LCM of these numbers. So let us look at it step by step to understand it better.


Breaking the given numbers into their prime factors.

 

 

  • Prime factorization of 2 = 2
  • Prime factorization of 5 = 5
  • Prime factorization of 6 = 2 × 3

 

Multiplying the highest power of prime factors: 21 × 31 × 51 → 2 × 3 × 5 = 30


LCM of 2, 5, and 6 is 30.


The product of the highest power of prime factors of 2, 5, and 6 is the LCM of these numbers. So let us look at it step by step to understand it better.


Breaking the given numbers into their prime factors.


Prime factorization of 2 = 2
Prime factorization of 5 = 5
Prime factorization of 6 = 2 × 3


Multiplying the highest power of prime factors: 21 × 31 × 51 → 2 × 3 × 5 = 30


LCM of 2, 5, and 6 is 30.
 

Professor Greenline from BrightChamps

LCM of 2, 5, and 6 Using Division Method

In this method, we will be dividing the given numbers with the common prime factors until all numbers are reduced to 1. Let us look at this step by step and make it easy for the children to learn it.

 

 

  • Step 1: Arrange the number in a sequence, divisors, and the numbers are on the left and right sides respectively.

 

  • Step 2: For finding the divisor, it is always the smallest common prime factor. Here, the smallest common prime factor is 2. Dividing 2, 5, and 6 by 2. The result is 1, 5, and 3. 

 

  • Step 3: As 3 is divisible by 3. Dividing 1, 5, and 3 by 3. Now the result is 1, 5, and 1.

 

  • Step 4: Continue dividing the numbers with the smallest prime number until all numbers are reduced to 1.

 

The divisors are 2, 3, 5. LCM of 2, 5, and 6 is the product of divisors.


Hence, the LCM of (2, 5, and 6) = 2 × 3 × 5 = 30

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in LCM of 2, 5, and 6

There are some common mistakes that are made by children while solving a problem on LCM. Let us look at some of these mistakes and how we can help children to avoid these mistakes.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Confusing factors and multiples.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

 Students used to confuse factors and multiples. To avoid confusion, students need to understand the concept of multiples and factors. Multiplies of a number are the product of the number with whole numbers, whereas factors of the number are the numbers which can evenly divide the number. For example, 1, 2, 3, 4, 6, and 12 are the factors of 12; whereas 12, 24, 36, 48, 60,… are the multiples of 12.
 

Max from BrightChamps Saying "Hey"

LCM of 2, 5, and 6 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A bus arrives every 2 minutes and another bus arrives every 6 minutes, if both buses arrive at 7: 00 AM. when will they arrive together again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 First find the LCM of 2 and 5 :

 
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 5: 5, 10, 15, 20, 25, 30


Here, the smallest common multiple of 2 and 6 is 6.
 

Explanation

The buses will arrive together again after 6 minutes, if the buses arrive at 7:00 AM. then they will arrive together at 7: 06 AM. 
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A teacher wants to schedule two classes. One repeats every 2 days, and the other repeats every 5 days, if both classes meet on the same day, when will they meet on the same day again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 Find the LCM of 2 and 5 


Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 5: 5, 10, 15, 20, 25, 30


The smallest common multiple of 2 and 5 is 10.
 

Explanation

To find the LCM, write the multiples and select the smallest common multiple. 10 is the LCM of 2 and 5.  So the 10 means, the class will meet together again after 10 days.  
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A school bus comes every 2 minutes, and a community bus comes every 5 minutes, if both buses arrive at the station at 8:00 AM. When will they arrive together again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 Here, to calculate the LCM of 2 and 5 


Write the multiple of 2 and 5 :

 
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 5: 5, 10, 15, 20, 25, 30


The smallest common multiple of 2 and 5 is 10. 10 means 10 minutes. 
 

Explanation

 So both buses arrive together again at 8:10 AM. 
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQ on LCM of 2, 5 and 6

1.What are the multiples of 2, 5, and 6?

Math FAQ Answers Dropdown Arrow

2.What is the LCM of 2, 6, and 6?

Math FAQ Answers Dropdown Arrow

3.What is the LCM of 2, 5, and 6?

Math FAQ Answers Dropdown Arrow

4.What is the LCM of 5 and 7?

Math FAQ Answers Dropdown Arrow

5.What is the LCM of 9 and 12?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand LCM of 2, 5, and 6?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice LCM of 2, 5, and 6 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and LCM of 2, 5, and 6 play in helping children in United States develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United States create number-rich environments to improve LCM of 2, 5, and 6 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries of LCM 2, 5, and 6

  • Factor: A number that will divide two or more numbers, leaving no remainder. For 18 and 24 we have 6 as a common factor, it means both 18 and 24 can be divisible by 6.

 

  • Prime Factorization: When a number can be represented as the factors of prime numbers, it is called prime factorization. The prime factorization of 18 for example is 2×3×3.

 

  • Greatest Common Factor (GCF): GCF is the greatest factor that is common in the given numbers. For example, the GCF of 5, 10, and 15 is 5. Because the common factors of 5 and 10 are 1 and 5.

 

  • Division Method: In the division method, the numbers are divided by the smallest common prime factor till the numbers are reduced to 1. 
     
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than just figures—they unlock a world full of possibilities! Our goal is to help children throughout the United States master key math skills, focusing today on the LCM of 2, 5, and 6 with special attention to understanding the LCM—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during a Little League baseball game, or managing their allowance to save for cool gadgets, knowing numbers builds confidence for everyday life. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA have unique learning styles, we customize our methods to match each child’s needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and exciting all across America. Let’s make the LCM an exciting part of every child’s math adventure!
Math Teacher Background Image
Math Teacher Image

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom