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Last updated on May 26th, 2025

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LCM of 2,4, and 7

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LCM is the smallest number which can be exactly divisible by each number. It can also be defined as the least number, which is a common multiple of all 2,4,7. In practical life, LCM helps to find out when an event will occur again at the same time.

LCM of 2,4, and 7 for US Students
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What is the LCM of 2,4, and 7

The LCM of 2,4,7 is 28. So, 28 is the smallest multiple shared by the numbers 2, 4, and 7. We can get the exact value of LCM of 2,4,7 through various methods. Let us see how

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How to find the LCM of 2,4, and 7

To find the LCM of 2,4,7 we apply some methods. Those methods are: 

 

  • Listing Method

 

  • Prime Factorization Method

 

  • Division Method
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LCM of 2,4, and 7 Using Listing the Multiples

The LCM of 2,4, and 7 can be found using the following steps:


Step 1: Write down the multiples of each number


Multiples of 2 = 2,4,6,8,10,12,14,16,18,20,24,26,28,30,....,200


Multiples of 4= 4,8,12,16,20,24,28,32,36,40,....,400


Multiples of 7 = 7,14,21,28,35,42,49,56,63,70,......,700


Step 2: Find out the smallest multiple from the listed multiples


The smallest common multiple is 28


Thus, LCM (2,4,7) = 28.
 

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LCM of 2,4, and 7 Using Prime Factorization

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.

 

Step 1: Find the prime factors of the numbers:


 Prime factorization of 2 = 2×1


 Prime factorization of 4 = 2×2


 Prime factorization of 7 = 7×1

 

Step 2: Take the highest powers of each prime factor, and multiply the highest powers to get the LCM:


 2×2×7 = 28


LCM (2,4,7) = 28.
 

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LCM of 2,4, and 7 Using Division Method

This method involves dividing both numbers by their common prime factors until no further division is possible, then multiplying the divisors to find the LCM.
 

Step 1: Write the numbers, divide by common prime factors and multiply the divisors.

 

Step  2: A prime integer that is evenly divisible into at least one of the provided numbers should be used to divide the row of numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers not divisible by the previously chosen prime number.


2×2×7 =  28


Thus, LCM (2,4,7) = 28
 

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Common Mistakes and How to Avoid Them in LCM of 2,4, and 7

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LCM of 2,4, and 7 Examples

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Problem 1

The LCM of two numbers is 224 and the numbers are in the ratio 4:7. Find the numbers.

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Explanation

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Problem 2

LCM (2,4,7) = x. Find the smallest positive integer (n), where n×x=14.

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Explanation

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Problem 3

What is the LCM of 20, 2, and 4?

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Explanation

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FAQs on LCM of 2,4 and 7

1.List the multiples of 2,4 and 7.

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2.What is the LCM of 2,6 and 30?

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3.What is the LCM of 2,4,6,10 and 20?

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4.What is the LCM of 15,25 and 45?

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5.What is the LCM of 20,25 and 30?

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6.How can children in United States use numbers in everyday life to understand LCM of 2,4, and 7?

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7.What are some fun ways kids in United States can practice LCM of 2,4, and 7 with numbers?

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8.What role do numbers and LCM of 2,4, and 7 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve LCM of 2,4, and 7 skills?

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Important glossaries for the LCM of 2,4 and 7

  • Multiple: A number and any integer multiplied. 

 

  • Prime Factor: A natural number (other than 1) that has factors that are one and itself.

 

  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. 

 

  • Co-prime numbers: When the only positive integer that is a divisor of them both is 1, a number is co-prime. 

 

  • Relatively Prime Numbers:Numbers that have no common factors other than 1.

 

  • Fraction: A representation of a part of a whole.
     
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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 2,4, and 7 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!
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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.

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Fun Fact

: She loves to read number jokes and games.

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