LCM of 4 and 7 is 28. The Least Common Multiple, or LCM, is the smallest number that can be evenly split into all of the numbers being addressed, whether they are two or more. The smallest number among all common multiples of 4 and 7 is the LCM of 4 and 7. (4, 8, 12, 16, 20, etc.) and (7, 14, 21, 28, 35, etc.) are the first few multiples of 4 and 7. To find the LCM of 4 and 7, there are three typical methods: division, listing multiples, and prime factorization.
Also read: Least common multiple
What is LCM of 4 and 7?
The answer to this question is 28. The LCM of 4 and 7 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 7, is the smallest positive integer 28 which is divisible by both 4 and 7 with no remainder.
How to Find LCM of 4 and 7?
LCM of 4 and 7 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 7 Using Prime Factorisation Method
The prime factorisation of 4 and 7, respectively, is given by:
4 = 2 x 2 = 2²
7 = 7
LCM (4, 7) = 28
LCM of 4 and 7 Using Division Method
We’ll divide the numbers (4, 7) by their prime factors to get the LCM of 4 and 7 using the division method (preferably common). The LCM of 4 and 7 is calculated by multiplying these divisors.
| 2 | 4 | 7 |
| 2 | 2 | 7 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (4, 7) = 28
LCM of 4 and 7 Using Listing the Multiples
To calculate the LCM of 4 and 7 by listing out the common multiples, list the multiples as shown below
| Multiples of 4 | Multiples of 7 |
| 4 | 7 |
| 8 | 14 |
| 12 | 21 |
| 16 | 28 |
| 20 | 35 |
| 24 | 42 |
| 28 | 49 |
The smallest common multiple of 4 and 7 is 28.
LCM (4, 7) = 28
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Video Lesson on Applications of LCM
LCM of 4 and 7 Solved Example
1. The product of two numbers is 28. If their GCD is 1, what is their LCM?
Solution: Given: GCD = 1
product of numbers = 28
LCM × GCD = product of numbers
LCM = Product/GCD = 28/1
Therefore, the LCM is 28.
The probable combination for the given case is LCM(4, 7) = 28.
Frequently Asked Questions on LCM of 4 and 7
What is the Relation Between GCF and LCM of 4, 7?
If the LCM of 7 and 4 is 28, Find its GCF.
Since the LCM of 7 and 4 = 28
⇒ 28 × GCF(7, 4) = 28
Therefore, the greatest common factor = 28/28 = 1.
What are the Methods to Find LCM of 4 and 7?
Listing Multiples
Prime Factorization Method
Division Method.
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