LCM of 24 and 48 is 48. In Maths, LCM stands for least common multiple. The smallest common multiple of two or more numbers is represented as LCM. The article LCM with Examples is the best study material a student can get hold of. By referring to this article, students will undoubtedly build a deeper understanding of the LCM concept. Let us learn how to find the least common multiple of 24 and 48 with solved examples and FAQs in a descriptive manner.
What is LCM of 24 and 48?
The Least Common Multiple of 24 and 48 is 48.
How to Find LCM of 24 and 48?
The below methods can be used to determine the LCM of 24 and 48:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 24 and 48 Using Prime Factorisation Method
In this method, the numbers can be expressed as the product of prime numbers. The numbers 24 and 48 can be expressed as shown below
24 = 2 × 2 × 2 × 3
48 = 2 × 2 × 2 × 2 × 3
LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48
LCM of 24 and 48 Using Division Method
In division method, we divide the numbers 24 and 48 by their prime factors until we get the result as one in the complete row to determine their LCM. The product of these divisors shows the least common multiple of 24 and 48.
| 2 | 24 | 48 |
| 2 | 12 | 24 |
| 2 | 6 | 12 |
| 2 | 3 | 6 |
| 3 | 3 | 3 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48
LCM of 24 and 48 Using Listing the Multiples
In listing the multiples method, we list out the multiples of 24 and 48 to find their LCM. The below tables illustrate the multiples of 24 and 48.
| Multiples of 24 | Multiples of 48 |
| 24 | 48 |
| 48 | 96 |
| 72 | 144 |
| 96 | 192 |
| 120 | 240 |
| 144 | 288 |
LCM (24, 48) = 48
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 24 and 48?
Solution: 48 is the smallest number that is divisible by both 24 and 48.
Q. 2: What is the HCF of 24 and 48?
Solution: The HCF of 24 and 48 is 24.
Frequently Asked Questions on LCM of 24 and 48
What is the LCM of 24 and 48?
How do you find the LCM of 24 and 48 using the prime factorisation method?
In this method, we can express 24 and 48 as the product of prime numbers as shown below:
24 = 2 × 2 × 2 × 3
48 = 2 × 2 × 2 × 2 × 3
LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48
Therefore, the least common multiple of 24 and 48 by prime factorisation is 48.
Is the LCM of 24 and 48 the same as the HCF of 24 and 48?
What are the methods used to find the LCM of 24 and 48?
The methods used to find the LCM of 24 and 48 are as follows:
Prime Factorisation
Division Method
Listing the Multiples
What is the GCF if the LCM of 24 and 48 is 48?
GCF × LCM = 24 × 48
Given
LCM = 48
GCF × 48 = 24 × 48
GCF = 24
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