154 LearnersLast updated on May 26th, 2025
LCM of 5 and 6
LCM is a common multiple, the smallest value between the numbers 5 and 6. 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 5 and 6?
The LCM of 5 and 6 is 30. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
LCM of 5 and 6 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,…
— Multiples of 6 = 6,12,18,24,30,…
Step 2: Find the smallest number common between the written multiples of 3 and 8
— The smallest common multiple is 30
Thus, LCM(5,6) = 30
LCM of 5 and 6 using the Prime Factorization
Step 1: factorize the numbers into its prime factors
5 = 5×1
6 = 2×3
Step 2: find the highest powers of the factors of 3 and 8
Step 3: Multiply the highest powers
LCM(5,6) = 30
LCM of 5 and 6 using the Division Method
- Write the numbers 5,6 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(5,6) = 30
Common Mistakes and how to avoid them while finding the LCM of 5 and 6
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 5 and 6. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 30, double-check that the number appears on the list of both 5 and 6.
LCM of 5 and 6 Examples
Problem 1
Simplify the fraction LCM(5,6)/GCD(5,6).
LCM(5, 6) = 30.
GCD(5, 6) = 1.
Simplified fraction = 30/1=30
Explanation
The simplified fraction is 30.
Problem 2
The LCM of 5 and a number y is 60. Find y.
LCM(5, y) = 60.
LCM must be divisible by 5, so y must contain at least the factor 2 and the factor 3 to make up 60. Therefore, y=12.
Explanation
The number y is 12.
Problem 3
What percentage of the LCM of 5 and 6 is their product (5 × 6)?
LCM of 5 and 6 is 30.
Product of 5 and 6 is 30.
Percentage = Product/LCM×100=30/30×100=100%
Explanation
The product of 5 and 6 is 100% of their LCM.
FAQ’s on the LCM of 5 and 6
1.What are the multiples of 5 and 6?
2.What is the LCM of 4,5 and 6?
3.What is the LCM of 5,6 and 30?
4.What is the GCF of 5 and 6?
5.What are the factors of 5 and 6?
6.How can children in Qatar use numbers in everyday life to understand LCM of 5 and 6 ?
7.What are some fun ways kids in Qatar can practice LCM of 5 and 6 with numbers?
8.What role do numbers and LCM of 5 and 6 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve LCM of 5 and 6 skills?
Important glossaries on the LCM of 5 and 6
- 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
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.
