LCM of 3 and 24 is 24. If you observe the common multiples of 3 and 24, there are 24, 48, 72 and so on. Out of these common multiples, 24 is the least number or the smallest number that is common. Hence 24 is called the Least Common multiple or Lowest common multiples or simply LCM. The LCM is also known as LCD, Least Common Divisor for 3 and 24 is 24. You can use HCF and LCM for more details on both HCF and LCM.
What is LCM of 3 and 24
The Least Common Multiple or Lowest Common Multiple of 3 and 24 is 24.
How to Find LCM of 3 and 24?
LCM of 3 and 24 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 24 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 3 and 24 can be expressed as;
3 = 1 × 3
24 = 2 × 2 × 2 × 3
3 is a common factor for both 3 and 24, which is multiplied with other factors of 24 to get the LCM.
LCM (3, 24) = 2 × 2 × 2 × 3 = 24
LCM of 3 and 24 Using Division Method
In the Division Method, the given set of numbers 3 and 24 are divided by common factors. The product of the common and uncommon divisors of 3 and 24 forms the LCM.
|
2 |
3 |
24 |
|
2 |
3 |
12 |
|
2 |
3 |
6 |
|
3 |
3 |
3 |
|
× |
1 |
1 |
LCM (3, 24) = 2 × 2 × 2 × 3 = 24
LCM of 3 and 24 Using Listing the Multiples
By listing all the multiples of 3 and 24, we can identify the LCM. Below is the list of multiples for 3 and 24
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30,,….
Multiples of 24:
24, 48, 72,….
LCM (3, 24) = 24
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 3 and 24?
Answer: 24 is the smallest number that is divisible by both 3 and 24.
What is the GCF for 3 and 24?
Answer: Greatest Common Factor for 3 and 24 is 3.
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