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Last updated on November 29th, 2024

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LCM of 5 and 7

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LCM is a common multiple, the smallest value between the numbers 5 and 7. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

LCM of 5 and 7 for Qatari Students
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What is the LCM of 5 and 7?

The LCM of 5 and 7. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below. 
 

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LCM of 5 and 7 using the Listing Multiples Method

Step 1: Write down the multiples of the numbers. Don’t stop too early.


Multiples of 5 = 5,10,15,20,25,30,35…


Multiples of 7 = 7, 14,21,28,35,…


Step 2:   Find the smallest number common between the written multiples of 5 and 7


The smallest common multiple is 35 


Thus, LCM(5,7) = 35 

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LCM of 5 and 7 using the Prime Factorization Method

Step 1: factorize the numbers into its prime factors 


5 = 5×1


7 = 7×1


Step 2: find the highest powers of the factors of 5 and 7


Step 3: Multiply the highest powers 


LCM(5,7) = 35 

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LCM of 5 and 7 using the Division Method

  • Write the numbers 5,7 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(5,7) = 35 
     
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Common Mistakes and how to avoid them while finding the LCM of 5 and 7

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LCM of 5 and 7, examples

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Problem 1

In a neighborhood park, the fountain show is turned on every 5 minutes, and the light show every 7 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?

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Explanation

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Problem 2

The LCM of 5 and 7 is 35. If 35 represents 70% of a certain number, what is the original number?

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Explanation

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Problem 3

Verify the relationship between the LCM and GCD of 5 and 7 using the formula: LCM(a,b)×GCD(a,b)=a×b

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Explanation

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FAQs on LCM of 5 and 7

1. What are the multiples of 5 and 7?

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2.What is the LCM of 5,7 and 9?

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3. What is the GCF of 5 and 7?

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

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5.What is the LCM of 8 and 5?

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

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7.What are some fun ways kids in Qatar can practice LCM of 5 and 7 with numbers?

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

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

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Important glossaries for the LCM of 5 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. 
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About BrightChamps in Qatar

At BrightChamps, numbers represent more than digits—they unlock countless opportunities! Our goal is to help children throughout Qatar master important math skills, focusing on the LCM of 5 and 7 with special attention on understanding the LCM—in a lively, fun, and easy way. Whether your child is calculating how fast a roller coaster moves at Qatar’s Angry Birds World, keeping score at local football matches, or managing their allowance to buy gadgets, mastering numbers builds confidence for daily challenges. Our interactive lessons make learning enjoyable and simple. Because children in Qatar learn in many different ways, we adapt our approach to suit each learner. From Doha’s modern cityscape to desert landscapes, BrightChamps makes math come alive. Let’s make the LCM a fun part of every child’s learning!
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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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