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Last updated on May 26th, 2025

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LCM of 4,5 and 7

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Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 4, 5, and 7. By learning the following tricks, you can learn the LCM of 4, 5, and 7 easily.

LCM of 4,5 and 7 for UK Students
Professor Greenline from BrightChamps

What Is the LCM of 4, 5, and 7?

The LCM of 4, 5, and 7 is 140. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more numbers in different ways.

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How to find the LCM of 4, 5, and 7?

We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:


Method 1: Listing of Multiples
Method 2: Prime Factorization
Method 3: Division Method


Now let us delve further into these three methods and how it benefit us.
 

Professor Greenline from BrightChamps

LCM of 4, 5, and 7 Using Listing of Multiples Method

In this method, we will list all the multiples of 4, 5, and 7. Then we will try to find a multiple that is present in both numbers.


For example, 


Multiples of 4:
4, 8, 12,…..100,104,108,112,116,120,124,128,132,136,140….


Multiples of 5:
5, 10, 15,…..100,105,110,115,120,125,130,135,140….


Multiples of 7:
7, 14, 21,……91,98,105,112,119,126,133,140….

 

The LCM of 4, 5, and 7 is 140. 140 is the smallest number which can be divisible by 4, 5,  and 7.

Professor Greenline from BrightChamps

LCM of 4, 5, and 7 Using Prime Factorization

To find the LCM of 4, 5, and 7 using the prime factorization method, we need to find out the prime factors of both the numbers. Then multiply the highest powers of the factors to get the LCM. 


Prime Factors of 4 are: 22
Prime Factors of 5 are: 51
Prime Factors of 7 are: 71.


Multiply the highest powers of both the factors: 22 × 51 × 71 = 2 × 2 × 5 × 7 = 140


Therefore, the LCM of 4, 5 and 7 is 140.
 

Professor Greenline from BrightChamps

LCM of 4, 5, and 7 Using Division Method

To calculate the LCM using the division method. We will divide the given numbers with their prime numbers. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the remainder becomes 1. By multiplying the prime factors, one can get LCM.


For finding the LCM of 4, 5, and 7 we will use the following method.

 

 

 

 

 

 

 

 

By multiplying the prime divisors from the table, we will get the LCM of 4, 5, and 7.


2 × 2 × 5 × 7 = 140


The LCM of 4, 5, and 7 is 140

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Common Mistakes and How to Avoid Them in LCM of 4, 5, and 7.

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LCM of 4, 5, and 7 Examples

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Problem 1

Three employees are working on a project. Employee A completes a task every 4 days, Employee B every 5 days, and Employee C every 7 days. After how many days will all three employees complete their tasks on the same day again? What percentage of the total days will Employee A, B, and C be working individually before they all finish on the same day?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 2

Suppose a bus route passes every 4 minutes, a train every 5 minutes, and a tram every 7 minutes. At 8 AM they arrive. Using the formula for LCM, determine the next time they will all pass by together.

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Explanation

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Max, the Girl Character from BrightChamps

Problem 3

Verify that the LCM of 4, 5, and 7 is consistent with the relationship:LCM=Product of numbers/GCF of numbers. Find the LCM using this.

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Explanation

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FAQs on LCM of 4,6, and 7

1.What is the LCM of 4,6, and 7?

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

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3. What is the LCM of 4,3,5, and 7?

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4.Find GCF of 4,5 and 7.

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5. Find the LCM of 4,7 and 10.

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6.How can children in United Kingdom use numbers in everyday life to understand LCM of 4,5 and 7?

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7.What are some fun ways kids in United Kingdom can practice LCM of 4,5 and 7 with numbers?

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8.What role do numbers and LCM of 4,5 and 7 play in helping children in United Kingdom develop problem-solving skills?

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9.How can families in United Kingdom create number-rich environments to improve LCM of 4,5 and 7 skills?

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Professor Greenline from BrightChamps

Important glossaries for the LCM of 4,5 and 7

  • Prime Number: Any number that has only 2 factors is called a prime number.For example, 5 and 7, the only common factors are 1 and the number itself.

 

  • Composite Number: Any number that has more than 2 factors is called a composite number. For example, 4,8, and 10. 

 

  • Prime Factorization: It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.
     
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we know numbers are far more than mere digits—they open doors to endless opportunities! We aim to support children all over the United Kingdom in mastering essential math skills, with today’s spotlight on the LCM of 4,5 and 7 and a special focus on understanding the LCM—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out how fast a roller coaster travels at Alton Towers, tracking scores at a local football match, or budgeting pocket money for the latest gadgets, mastering numbers helps build their everyday confidence. Our interactive lessons make learning fun and straightforward. Since children in the UK learn in diverse ways, we adapt our teaching to suit each individual. From the bustling streets of London to the scenic coastlines of Cornwall, BrightChamps makes math relatable and exciting throughout the UK. Let’s bring the LCM to life for every child’s math 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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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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