183 LearnersLast updated on May 26th, 2025
LCM of 5 and 10
In this article, we will learn more about the LCM of 5 and 10. LCM is a mathematical tool we apply in various fields like making music, planning and scheduling.
What is the LCM of 5 and 10?
10 is the LCM of the given numbers 5 and10.
Lets find out how to get the LCM.
How to find the LCM of 5 and 10?
There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;
LCM of 5 and 10 using the Listing multiples method
list the multiples of the integers until a common multiple is found.
list the multiples of the integers until a common multiple is found.
Step1: list multiples of each number:
Multiples of 5 = 5,10,15,20,…
Multiples of 10 = 10,20,30,40…
Step 2: Find the smallest multiple from the listed multiples
The least common multiple of the numbers is 10.
LCM(5,10) = 10
LCM of 5 and 10 using the Prime Factorization
The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.
Step 1: prime factorize the numbers:
5 = 5
10= 2×5
Step 2: pick the highest power of each prime factor and multiply the ascertained factors.
— 2,5 = LCM, i.e, 10
LCM of 5 and 10 using the Division Method
Step 1: Write the numbers in a row;
Step 2: Divide the row of numbers by a prime number that is evenly divisible into one of the given numbers and bring down the numbers not divisible by the previous prime number and continue dividing the numbers until the last row of the results is ‘1’ .
Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e,
2×5 = 10
.
Common Mistakes and how to avoid them while finding the LCM of 5 and 10
Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 5 and 10, make a note while practicing.
Mistake 1
Multiplying the numbers instead of finding the LCM
just multiplying rather than finding the LCM is a mistake often made, numbers 5 and 10 are not co-prime numbers, therefore the product of the numbers is not the LCM.
LCM of 5 and 10 Examples
Problem 1
a=5, b=10. Use LCM(a,b)=a×b/HCF(a,b) to find the LCM.
a=5, b=10.
HCF of 5,10;
Factors of the numbers;
5 = 1,5
10 = 1,2,5,10
HCF(5,10) = 5
Apply the formula
LCM(a,b)=a×b/HCF(a,b)
LCM(5,10)=5×10/5
LCM(5,10) = 10
Explanation
By using LCM(a,b)=a×b/HCF(a,b) → the above is how we find the LCM of the numbers.
Problem 2
Verify a=5,b=10 LCM(a,b)×HCF(a,b)=a×b is satisfied.
LCM of 5,10 = 10
HCF of 5,10 = 5
LCM(a,b)×HCF(a,b)=a×b
5×10 = 10×5
50=50
Explanation
LHS = RHS, the relationship stands true.
Problem 3
The LCM of 5 and x is 10. Find x.
LCM(5,x) = 10
LCM(a,b)=a×b/HCF(a,b)
LCM(5,x)=5×x/1
5×x = 10
x = 10/5 = 2
Explanation
The LCM of 5 and 2 is 10. The above is how we find it. x = 2.
FAQ’s on LCM of 5 and 10
1.What is the LCM of 5,7,10?
2.What is the HCF of 5 and 10?
3.What is the LCM of 5,10,6?
4.LCM of 8,5 and 10?
5.What are the multiples of 5 and 10 ?
6.How can children in Philippines use numbers in everyday life to understand LCM of 5 and 10?
7.What are some fun ways kids in Philippines can practice LCM of 5 and 10 with numbers?
8.What role do numbers and LCM of 5 and 10 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve LCM of 5 and 10 skills?
Important glossaries for LCM of 5 and 10
- Multiple: A product of a number and any integer.
- Prime Factor: A prime factor is a natural number, other than 1, whose only factors are 1 and itself.
- Prime Factorization: The process of breaking down a number into its prime factors.
- Co-prime numbers: A number is co-prime when the only positive integer that is a divisor of them both is 1.
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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.
