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What is the LCM of 4 and 7?

How to find the LCM of 4 and 7

Listing Multiples method for LCM of 4 and 7

LCM of 4 and 7 Using Prime Factorization

LCM of 4 and 7 using the Division method

Common Mistakes and how to avoid them while finding the LCM of 4 and 7

LCM of 4 and 7, Examples

FAQs on LCM of 4 and 7

Important glossaries for LCM of 4 and 7

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Last updated on May 26th, 2025

LCM of 4 and 7

Q: What are the multiples of 4 and 7 ?

— Multiples of 4 = 4,8,12,16,20,24,28,32,36,40,44,48,… — Multiples of 7 = 7,14,21,28,35,42,49,56,63,70,77,84,… -4 and 7 share the common multiple of 28 till multiples of 20.

Q: What is the LCM of 4,5 and 7 ?

Find the prime factors of each number: Prime factorization of 4 = 2×2 Prime factorization of 5 =5 Prime factorization of 7 =7 Take the highest powers of each prime factor and multiply the highest powers to get the LCM: LCM(4, 5,7) = 2×2×5×7= 140

Q: What is the LCM of 2,4,7 ?

Find the prime factors of each number: Prime factorization of 2 = 2 Prime factorization of 4 =2×2 Prime factorization of 7 =7 Take the highest powers of each prime factor and multiply the highest powers to get the LCM: LCM(2,4,7) = 2×2×2×7= 56

Q: What is the LCM of 4,7,10?

Write down the numbers in a row; Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers that have not been divisible previously. The LCM of the numbers is the product of the prime numbers in the first column, i.e, 2×2×7×5×5=700 LCM (4,7,10) = 700

Q: How can children in India use numbers in everyday life to understand LCM of 4 and 7?

Numbers appear everywhere—from counting money to measuring ingredients. Kids in India see how LCM of 4 and 7 helps solve real problems, making numbers meaningful beyond the classroom.

Q: What are some fun ways kids in India can practice LCM of 4 and 7 with numbers?

Games like board games, sports scoring, or even cooking help children in India use numbers naturally. These activities make practicing LCM of 4 and 7 enjoyable and connected to their world.

Q: What role do numbers and LCM of 4 and 7 play in helping children in India develop problem-solving skills?

Working with numbers through LCM of 4 and 7 sharpens reasoning and critical thinking, preparing kids in India for challenges inside and outside the classroom.

Q: How can families in India create number-rich environments to improve LCM of 4 and 7 skills?

Families can include counting chores, measuring recipes, or budgeting allowances, helping children connect numbers and LCM of 4 and 7 with everyday activities.

Professor Greenline Explaining Math Concepts

LCM provides a tool to work the arithmetic operations of fractions, and it also assists when one needs to make a schedule or align a cycle of events which occur frequently.

LCM of 4 and 7 for Indian Students

What is the LCM of 4 and 7?

LCM is the smallest positive integer which is a multiple of both 4 and 7. LCM of 4,7 = 28

How to find the LCM of 4 and 7

Here different ways are explained to find LCM as; Listing method, prime factorization method and division method

Listing Multiples method for LCM of 4 and 7

Step 1: Record the multiples of each number;

4 = 4,8,12,16,20,24,28,…

7 = 7,14,21,28…

Step 2: Pick among the smallest multiple of 4 and 7 LCM

LCM(4,7) = 28

LCM of 4 and 7 Using Prime Factorization

We write down the prime factors of each number and multiply the highest power of those common prime factors to get LCM.

Step 1: List the numbers in prime factor form:

Prime factorization of 4 = 2×2

Prime factorization of 7 = 7

Step 2: Multiply the maximum powers of each prime.

— 2,2,7

LCM(4,7) = 28

LCM of 4 and 7 using the Division method

The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM.

Step 1: Write down the numbers in a row;

Step 2: Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers that have not been divisible previously.

Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e,

2×2×7= 28

LCM (4,7) = 28

Common Mistakes and how to avoid them while finding the LCM of 4 and 7

Listed below are a few commonly made mistakes while finding the LCM of 4 and 7.

Mistake 1

Errors in prime factorization

4 can be incorrectly prime factorized as 2×5 which is not equal to 4, and may proceed working towards finding the LCM which will give an incorrect result.

Mistake 2

Forgetting to include prime factors

If a necessary prime factor is omitted, the result will turn out to be incorrect.

Mistake 3

Multiplying the numbers directly

one may assume that multiplying the numbers will result in the LCM. This is true only for co-prime numbers. 4 and 7 are in fact co-prime.

Hey!

LCM of 4 and 7, Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

a=4,b=7, verify the relationship between the HCF and LCM of the numbers.

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

Okay, lets begin

We can verify the relationship using LCM (a,b)×HCF(a,b) = a×b

LCM (4,7) = 28

HCF (4,7) = 1

28×1 = 4×7

28=28

Explanation

Both sides are equal, the formula holds good. The above is how we verify the validity of the LCM and HCF obtained.

Well explained 👍

Problem 2

Use LCM(a,b) = a×b/HCF(a,b) to find the LCM of 3 and 7.

Okay, lets begin

The HCF of 4 and 7 is 1, they share no common factors.

Applying the formula;

LCM(a,b) = a×b/HCF(a,b)

LCM(4,7) = 4×7/1

LCM = 28

Explanation

Using the above formula and the method we find the LCM of any two numbers

Well explained 👍

Problem 3

Is 28 a common multiple of 4 and 7. Verify.

Okay, lets begin

To check if 28 is a common multiple of 4 and 7, we check the divisibility of the numbers;

28/4 = 7

28/7 = 4

Explanation

28 is a common multiple of both 7 and 4 as there are no remainders left behind on division.

Well explained 👍

FAQs on LCM of 4 and 7

1.What are the multiples of 4 and 7 ?

2.What is the LCM of 4,5 and 7 ?

3.What is the LCM of 2,4,7 ?

4.What is the LCM of 4,7,10?

5.How can children in India use numbers in everyday life to understand LCM of 4 and 7?

6.What are some fun ways kids in India can practice LCM of 4 and 7 with numbers?

7.What role do numbers and LCM of 4 and 7 play in helping children in India develop problem-solving skills?

8.How can families in India create number-rich environments to improve LCM of 4 and 7 skills?

Important glossaries for LCM of 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.

About BrightChamps in India

At BrightCHAMPS, we understand numbers are much more than just digits they open doors to endless possibilities! We strive to help children all across India master key math skills, focusing today on the LCM of 4 and 7 with a special emphasis on understanding the LCM in a way that’s lively, enjoyable, and easy to understand. Whether your child is calculating how fast a train passes by, keeping scores during a cricket match, or managing pocket money to buy new gadgets, mastering numbers boosts their confidence for everyday situations. Our interactive lessons make learning simple and fun. Since children in India have varied learning styles, we customize our teaching to fit each child. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightCHAMPS brings math to life, making it relatable and exciting all across India. Let’s make the LCM an enjoyable part of every child’s math learning!

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.