LCM of 7 and 8
2026-02-28 15:52 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-7-and-8

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Last updated on January 16, 2026

LCM is a common multiple, the smallest value between the numbers 7 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

What is the LCM of 7 and 8?

LCM of 7 and 8 Using Listing the Multiples

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


Multiples of 7 = 7,6,9,12,18,21,28,35,42,49,56,…


Multiples of 8 = 8, 16,24,32,40,48,56,…


Step 2: Find the smallest number common between the written multiples of 3 and 8


The smallest common multiple is 56


Thus, LCM(7,8) = 56
 

LCM of 7 and 8 Using Prime Factorization

Step 1:factorize the numbers into its prime factors 


7 = 7×1


8 = 2×2×2


Step 2:find the highest powers of the factors of 7 and 8


Step 3:Multiply the highest powers 


LCM(7,8) = 56

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LCM of 7 and 8 Using Division Method

  • Write the numbers 7,8 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(7,8) = 56.
     

Common Mistakes and how to avoid them while finding the LCM of 7 and 8

Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 7 and 8. Try to avoid them. 
 

Problem 1

If 7 and 8 are multiplied together, what percentage of this product is their LCM?

Okay, lets begin

7×8=56


The LCM of 7 and 8 is also 56.


Therefore, the percentage is:


LCM/7×8×100=56/56×100=100%
 

Explanation

Percentage of the product of 7 and 8 is their LCM is 100%.
 

Well explained 👍

Problem 2

Simplify the sum of 1/7+ 1/8 .

Okay, lets begin

To add the fractions, we need the LCM of 7 and 8 to find a common denominator. The LCM of 7 and 8 is 56.


1/7+1/8=8/56+7/56=15/56 
 

Explanation

This is the simplified fraction of 1/8 and 1/7.

Well explained 👍

Problem 3

A yellow bulb is replaced every 7 months and a white bulb is replaced every 8 months. If both of them are replaced today, after how many months will they need to be replaced?

Okay, lets begin

The LCM of 7 and 8 is 56. 
 

Explanation

Both bulbs will need replacement together in 56 months. The LCM of 7 and 8 is 56, which is the smallest common time interval for the given digits. 
 

Well explained 👍

FAQs on LCM of 7 and 8

1.What is the GCF of 7 and 8?

Factors of 7 = 1,7


Factors of 8 = 1,2,4,8


There are no common factors between 7 and 8, therefore, therefore the GFC is 1. 
 

2.What are the factors of 7 and 8?

Factors of 7 are 1,7


Factors of 8 are 1,2,4,8 


Common factors of 7 and 8 are just 1. 
 

3.What is the LCM of 4 and 7?

Multiples of 4 are 4,8,12,16,24,28,… 


Multiples of 7 are 7,14,21,28,…


Least common multiple: 28
 

4.What is the LCM of 7 and 5?

Multiples of 7 are 7,14,21,28,35,…


Multiples of 5 are 5,10,15,20,25,30,35,…


Least common multiple= 35 
 

5.What is the LCM of 7,8,5?

280 is the smallest number that appears commonly on the lists of the numbers 7,8 and 5. 


LCM (7,8,5)= 280
 

Important glossaries for the LCM of 7 and 8

  • 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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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.

Fun Fact

: She loves to read number jokes and games.