LCM of 4,6 and 10
2026-02-21 20:25 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-4-6-and-10

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Last updated on August 5, 2025

LCM is a common multiple, the smallest value between the numbers 4,6 and 10. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

LCM of 4,6 and 10 Using Listing the Multiples

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


Multiples of 4= 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,…


Multiples of 6 =6,12,18,24,30,36,42,48,54,60,…


Multiples of 10 = 10,20,30,40,50,60,…


 Step 2:  Find the smallest number common between the written multiples of 4,6 and 10. 


 — The smallest common multiple is 60


Thus, LCM(4,6,10) = 60

LCM of 4,6 and 10 Using Prime Factorization Method

Step 1: factorize the numbers into its prime factors 


4 = 2×2


6 = 3×2


10 = 2×5


Step 2: find the highest powers of the factors of 4,6 and 10. 


Step 3:  Multiply the highest powers 


LCM(4,6,10) = 60 

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LCM of 4,6 and 10 Using Division Method

Steps:

  • Write the numbers 4,6,10  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(4,6,10) = 60
     

Common Mistakes and how to avoid them while finding the LCM of 4,6 and 10

Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 3 and 8. Try to avoid them. 
 

Problem 1

Rockets of type A, B and C are launched every 4,6 and 10 minutes for a certain experiment. When next will they be launched at the same time?

Okay, lets begin

The LCM of 4,6 and 10 = 60
 

Explanation

The rockets will be launched together in 60 minutes. The LCM of the given digits is the smallest common multiple using which we ascertain the time asked. 

Well explained 👍

Problem 2

If the LCM of 4, 6, and 10 represents 100%, what percentage of the LCM does the GCD of 4, 6, and 10 represent?

Okay, lets begin

LCM of 4, 6, 10 is 60.


GCD of 4, 6, 10 is 2.


Percentage = GCD/LCM×100=2/60×100=3.33%
 

Explanation

The GCD represents 3.33% of the LCM.
 

Well explained 👍

Problem 3

The LCM of three numbers, 4, 6, and a third number, is 60. If the third number is a multiple of 10, what is the third number?

Okay, lets begin

Let the third number be x, and we know LCM(4, 6, x) = 60.


Since the LCM of 4 and 6 is 12, x must be a multiple of 10.


LCM(12, x) = 60, and the only multiple of 10 that satisfies this condition is 10.
 

Explanation

The third number is 10.
 

Well explained 👍

FAQ’s on LCM of 4,6 and 10

1.What is the LCM of 4,5,6 and 10?

 LCM (4,5,6,10) = 60


60 is the smallest number that appears commonly on the lists of the numbers 4,5,6 and 10. 
 

2.What is the LCM of 4,6,8,10 and 12?

120 is the smallest number that appears commonly on the lists of the numbers 4,6,8,10 and 12.


LCM (4,6,8,10,12) = 120 
 

3.What is the HCF of 7 and 12?

HCF of 7 and 12 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers.


Factors of 7 are 1,7


Factors of 12 are 1,2,3,4,6,12 


HCF (7,12) = 1 
 

4.What is the LCM of 6 and 10?

LCM is a common multiple, the smallest value between the numbers 6 and 10. 


LCM (6,10) = 30


30 is the smallest number that appears commonly on the lists of the numbers 6 and 10.
 

5.What is the LCM of 4,6 and 9?

LCM is a common multiple, the smallest value between the numbers 4,6 and 9.


36 is the smallest number that appears commonly on the lists of the numbers 4,6 and 9.


LCM (4,6,9) = 36 
 

Important glossaries for the LCM of 4,6 and 10

  • 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.