178 LearnersLast updated on May 26th, 2025
LCM of 4 and 7
LCM provides a tool to work the arithmetic operations of fractions, and it also assists when one needs to make a schedule or align a cycle of events which occur frequently.
What is the LCM of 4 and 7?
LCM is the smallest positive integer which is a multiple of both 4 and 7. LCM of 4,7 = 28
How to find the LCM of 4 and 7
Here different ways are explained to find LCM as; Listing method, prime factorization method and division method
Listing Multiples method for LCM of 4 and 7
Step 1: Record the multiples of each number;
4 = 4,8,12,16,20,24,28,…
7 = 7,14,21,28…
Step 2: Pick among the smallest multiple of 4 and 7 LCM
LCM(4,7) = 28
LCM of 4 and 7 Using Prime Factorization
We write down the prime factors of each number and multiply the highest power of those common prime factors to get LCM.
Step 1: List the numbers in prime factor form:
Prime factorization of 4 = 2×2
Prime factorization of 7 = 7
Step 2: Multiply the maximum powers of each prime.
— 2,2,7
LCM(4,7) = 28
LCM of 4 and 7 using the Division method
The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM.
Step 1: Write down the numbers in a row;
Step 2: Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers that have not been divisible previously.
Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e,
2×2×7= 28
LCM (4,7) = 28
Common Mistakes and how to avoid them while finding the LCM of 4 and 7
Listed below are a few commonly made mistakes while finding the LCM of 4 and 7.
Mistake 1
Errors in prime factorization
4 can be incorrectly prime factorized as 2×5 which is not equal to 4, and may proceed working towards finding the LCM which will give an incorrect result.
LCM of 4 and 7, Examples
Problem 1
a=4,b=7, verify the relationship between the HCF and LCM of the numbers.
We can verify the relationship using LCM (a,b)×HCF(a,b) = a×b
LCM (4,7) = 28
HCF (4,7) = 1
28×1 = 4×7
28=28
Explanation
Both sides are equal, the formula holds good. The above is how we verify the validity of the LCM and HCF obtained.
Problem 2
Use LCM(a,b) = a×b/HCF(a,b) to find the LCM of 3 and 7.
The HCF of 4 and 7 is 1, they share no common factors.
Applying the formula;
LCM(a,b) = a×b/HCF(a,b)
LCM(4,7) = 4×7/1
LCM = 28
Explanation
Using the above formula and the method we find the LCM of any two numbers
Problem 3
Is 28 a common multiple of 4 and 7. Verify.
To check if 28 is a common multiple of 4 and 7, we check the divisibility of the numbers;
28/4 = 7
28/7 = 4
Explanation
28 is a common multiple of both 7 and 4 as there are no remainders left behind on division.
FAQs on LCM of 4 and 7
1.What are the multiples of 4 and 7 ?
2.What is the LCM of 4,5 and 7 ?
3.What is the LCM of 2,4,7 ?
4.What is the LCM of 4,7,10?
5.How can children in United States use numbers in everyday life to understand LCM of 4 and 7?
6.What are some fun ways kids in United States can practice LCM of 4 and 7 with numbers?
7.What role do numbers and LCM of 4 and 7 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve LCM of 4 and 7 skills?
Important glossaries for LCM of 4 and 7
- Multiple: A number and any integer multiplied.
- Prime Factor: A natural number (other than 1) that has factors that are one and itself.
- Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization.
- Co-prime numbers: When the only positive integer that is a divisor of them both is 1, a number is co-prime.
- Relatively Prime Numbers: Numbers that have no common factors other than 1.
- Fraction: A representation of a part of a whole.
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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
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