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Last updated on May 26th, 2025

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LCM of 2,3 and 7

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The LCM comes in use when we need to find a shared pattern between numbers that seem unrelated. We apply LCM to synchronize cycles or schedules, syncing digital signals and finding compatible frequencies in technology. In this article, we’ll take a look at the LCM of 2,3 and 7.

LCM of 2,3 and 7 for Indonesian Students
Professor Greenline from BrightChamps

What is the LCM of 2,3 and 7?

The LCM of 2,3 and 7 is the smallest positive integer that is a multiple of all the numbers. We find the LCM using the listing multiples method, the prime factorization method and the long division method. 
 

Professor Greenline from BrightChamps

LCM of 2,3 and 7 using the Listing Multiples Method

 The LCM of 2,3 and 7 can be found using the following steps:


Step 1: Write the multiples of each number


Multiples of 2 = 2,4,6,8,10,12,14,…42,…


Multiples of 3  = 3,6,9,12,18,…42


Multiples of 7 = 7,14,21,28,35,42,…


LCM(2,3,7) = 42


Step 2: Find the smallest multiple from the listed multiples


The smallest common multiple is 42.


Thus, LCM (2,3,7) = 42

Professor Greenline from BrightChamps

LCM of 2,3 and 7 using the Prime Factorization Method

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 3 = 31


 Prime factorization of 2 = 21


Prime factorization of 7 = 71


Step 2:Take the highest powers of each prime factor. Multiply the highest powers to get the LCM


LCM(2,3,7) = 42

Professor Greenline from BrightChamps

LCM of 2,3 and 7 using the Division Method

  • Write the numbers 2,3 and 7 in a row 

 

  • Divide them by their common prime factors, if there is one

 

  • Carry forward the numbers that are left undivided by the previously chosen factor

 

  • Continue dividing until the remainder is ‘1’ 

 

  • Multiply the divisors to find the LCM

 

  • LCM (2,3,7) = 42
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Common Mistakes and how to avoid them while finding the LCM of 2,3 and 7

It is not unusual that kids make mistakes when trying to find the LCM of the numbers 4,5 and 7. 
This may be due to unclear understanding of the concept or confusion. Make sure to avoid these!
 

Mistake 1

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Confusing between LCM and HCF 
 

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LCM is the smallest number divisible by 2,3 and 7 while, the largest number that divides them both is the HCF. 
 

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LCM of 2,3 and 7, examples

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Problem 1

LCM (2,6,7) = LCM(2,3,7) → Verify.

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LCM of 2,6,7; 


Prime factorization of 2 = 2


Prime factorization of 6 =  21×31


Prime factorization of 7 = 71


LCM(2,6,7) = 42 


LCM of 2,3,7; 


Prime factorization of 3 = 31


Prime factorization of 2 = 21


Prime factorization of 7 = 71


LCM(2,3,7) = 42
 

Explanation

LHS is equal to the RHS, the statement is true.

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Problem 2

a=2, b=3, c=7. Verify using → LCM(a,b,c) = LCM(LCM(a,b),c)

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LCM of 2,3;


Prime factorization of 3 = 31


Prime factorization of 2 = 21


LCM(2,3) = 6 


Use the obtained LCM in the below; 


LCM of 6,7; 


Prime factorization of 6 =  21×31


Prime factorization of 7 = 71


LCM(6,7) = 42 

Explanation

LCM(2,3,7) =42, it verifies with the given formula. 
 

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Max, the Girl Character from BrightChamps

Problem 3

Find x, LCM(3,9,x) = 72

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We know that the LCM of 3,9 = 9 
The prime factorization of 72 = 23×32
The LCM of 3,9 already includes 32, and the factor of x must include 23, which is 8.
 

Explanation

By following the above assumption we assume that the value of x is 8. 
 

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FAQs on LCM of 2,3 and 7

1.What is the LCM of 2,4 and 7?

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2. What is the GCF of 3, 9, and 12?

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3.Find the LCM of 3 and 4.

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4.What is the LCM of 9 and 12?

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5. What is the LCM of 4,2 and 8?

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6.How can children in Indonesia use numbers in everyday life to understand LCM of 2,3 and 7?

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7.What are some fun ways kids in Indonesia can practice LCM of 2,3 and 7 with numbers?

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8.What role do numbers and LCM of 2,3 and 7 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve LCM of 2,3 and 7 skills?

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Professor Greenline from BrightChamps

Important glossaries for the LCM of 2,3 and 7

  • Multiple — product of a number and a natural integer 

 

  • Prime factor — number one gets after prime factorization any given number 

 

  • Prime factorization — the process of breaking the number into its prime factors. 
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, numbers are more than simple digits—they unlock countless opportunities! We are dedicated to helping children all over Indonesia grasp key math skills, focusing today on the LCM of 2,3 and 7 with an emphasis on understanding the LCM—in a way that’s fun, engaging, and easy to follow. Whether your child is calculating the speed of a roller coaster at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for the latest gadgets, mastering numbers gives them confidence for everyday tasks. Our interactive lessons keep learning fun and easy. Since kids in Indonesia learn in diverse ways, we tailor our approach to each child’s needs. From the lively streets of Jakarta to the beautiful beaches of Bali, BrightChamps brings math to life, making the LCM a fun part of every child’s learning journey!
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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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