Last updated on May 26th, 2025
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.
10 is the LCM of the given numbers 5 and10.
Lets find out how to get the LCM.
There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;
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
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
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
.
Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 5 and 10, make a note while practicing.
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
By using LCM(a,b)=a×b/HCF(a,b) → the above is how we find the LCM of the numbers.
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
LHS = RHS, the relationship stands true.
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
The LCM of 5 and 2 is 10. The above is how we find it. x = 2.
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.
: She loves to read number jokes and games.