205 LearnersLast updated on May 26th, 2025
LCM of 8 and 5
We apply LCM every day when we set alarms, plan events and even while making music. The LCM is the smallest common multiple of the numbers, let us learn more about the LCM of 8 and 5.
What is the LCM of 8 and 5?
The LCM of 8 and 5 is 40.
Let us learn how to find and apply it
How to Find the LCM of 8 and 5?
The LCM of 8 and 5 can be found using the listing multiples method, the prime factorization method and the division method. These are explained below;
LCM of 8 and 5 using the Listing Multiples Method
In this method, we just list down the multiples of both the numbers till we land at the smallest common number between the digits.
To illustrate;
Multiples of 8 = 8,16,24,32,40,…
Multiples of 5 = 5,10,15,20,25,30,35,40,…
From the above we can tell that the smallest number, common among 8 and 5.
LCM(8,5) = 40
LCM of 8 and 5 using Prime factorization method
Here, we factorize the numbers into their prime factors and multiply the highest powers to find the LCM. In the case of 8 and 5;
Step 1:Prime factorize,
8 = 2×2×2
5 = 5
Step 2: Multiply the highest powers,
Step 3: Multiply the factors to get the LCM
LCM(8,5) = 40
LCM of 8 and 5 using Division method
In the division method,
- Write the numbers given (8,5) in a row.
- Proceed with dividing the numbers with a factor that is divisible by at least one of the numbers.
- Carry forward the numbers that are not divided earlier.
- Continue division till the remainder is 1.
- Multiply the divisors in the first column to find the LCM.
- LCM(8,5) = 40
Common Mistakes and how to avoid them in LCM of 8 and 5
Below are a few mistakes one is likely to make while learning to find the LCM of 8 and 5. Be mindful of the same while practicing.
Mistake 1
Listing few multiples and assuming
While listing the multiples of 8 and 5, one needs to list multiples up to 5 in case of 8 and 8 in case of 5. Many list up to 5 or 6 multiples and assume one of them is the LCM which is incorrect.
LCM of 8 and 5, examples
Problem 1
Verify → LCM(a,b)×HCF(a,b)=a×b , where a=8, b= 5.
LCM(8,5) = 40
HCF(8,5) = 1 (There are no common factors between 8 and 5)
Now we verify using the formula;
LCM(a,b)×HCF(a,b)=a×b
40×1=5×8
40=40
Explanation
LHS = RHS, the product of the HCF and LCM is equal to the product of a and b. The relationship holds true.
Problem 2
Find the LCM of 8 and 5 using → LCM(a,b)=a×b/HCF(a,b)
HCF(8,5) = 1 (there are no common numbers between the numbers)
LCM(a,b)=a×b/HCF(a,b)
LCM(a,b)=8×5/1
LCM(a,b) = 40
Explanation
By using LCM(a,b)=a×b/HCF(a,b), the LCM of numbers 8 and 5 is 40.
Problem 3
Miss. A assigns' homework to 5th graders every 8 days and science homework to 6th graders every 5 days. If both the grades get their homework today, when will they both receive homework on the same day?
The LCM of 8 and 5 is 40.
Explanation
The students will receive homework together again in 40 days. The LCM of 8 and 5 is 40, which represents the smallest time interval between the given digits.
FAQs on LCM of 8 and 5
1.What is the LCM of 4,5 and 8?
2.What is the HCF of 8,5?
3.Is 5 a factor 0?
4.What are the factors of 8 and 5?
5.Does 5 have two factors ?
6.How can children in United States use numbers in everyday life to understand LCM of 8 and 5?
7.What are some fun ways kids in United States can practice LCM of 8 and 5 with numbers?
8.What role do numbers and LCM of 8 and 5 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve LCM of 8 and 5 skills?
Important glossaries for the LCM of 8 and 5
- Multiple — It is a product of a number and any natural integer. So for 8, 16 and 24, etc. are the multiples.
- Prime Factor — It is a prime number that one gets after factorization of any given number.
- Prime Factorization — It is a process of dividing the number into prime factors. Like for 8 → 23 is the prime factorization.
- Co-prime numbers — These are the positive integers where both the numbers can be divided only by 1.
- Fraction — It is expressed as part of a whole, in which the numerator is divided by the denominator, so for a fraction like 8/5– 8 is the numerator and 5 is the denominator. Proper fraction is where numerator is always lesser than denominator.
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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.
