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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 Vietnamese 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 Vietnam use numbers in everyday life to understand LCM of 5 and 7?

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7.What are some fun ways kids in Vietnam 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 Vietnam develop problem-solving skills?

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9.How can families in Vietnam 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. 
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, numbers mean more than just digits—they open up a world of opportunities! Our mission is to help children throughout Vietnam build important math skills, focusing on the LCM of 5 and 7 with special attention to understanding the LCM—in a way that’s lively, fun, and easy to learn. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, tracking scores at a local football game, or managing allowance for new gadgets, mastering numbers gives them the confidence for daily life. Our interactive lessons make learning straightforward and enjoyable. Because kids in Vietnam learn differently, we adapt our teaching to suit every child’s style. From the vibrant streets of Ho Chi Minh City to the scenic beauty of Ha Long Bay, BrightChamps makes math come alive, making the LCM exciting for all learners!
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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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