LCM of 4, 8, 12 and 24 is 24. LCM, Least Common Multiple or Lowest Common Multiple, is the smallest numeral that is divisible by the given set of numbers. Consider the example for finding the LCM of 4, 8, 12 and 24. The answer is 24. 24 is the first/smallest/least number that is commonly divisible by 4, 8, 12 and 24. One can use the Prime Factorization and Division method to find the LCM for the given set of numbers.
What is LCM of 4, 8, 12 and 24
The Least Common Multiple or Lowest Common Multiple of 4, 8, 12 and 24 is 24.
How to Find LCM of 4, 8, 12 and 24?
LCM of 4, 8, 12 and 24 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4, 8, 12 and 24 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 4, 8, 12 and 24 can be expressed as;
4 = 2 × 2
8 = 2 × 2 × 2
12 = 2 × 2 × 3
24 = 2 × 2 × 2 × 3
The common factors 2 × 2 are multiplied by the other factors of 8, 12 and 24 to get the LCM.
LCM (4, 8, 12, 24) = 2 × 2 × 2 × 3 = 24
LCM of 4, 8, 12 and 24 Using Division Method
In the Division Method, 4, 8, 12 and 24 are divided by the same common factors. The division is completed with other factors such that the remainders are 1. The product of the prime divisors forms the LCM
|
2 |
4 |
8 |
12 |
24 |
|
2 |
2 |
4 |
6 |
12 |
|
2 |
1 |
2 |
3 |
6 |
|
3 |
1 |
1 |
3 |
3 |
|
× |
1 |
1 |
1 |
1 |
LCM (4, 8, 12, 24) = 2 × 2 × 2 × 3 = 24
LCM of 4, 8, 12 and 24 Using Listing the Multiples
By listing all the multiples of 4, 8, 12 and 24, we can identify the LCM. Below is the list of multiples for 4, 8, 12 and 24
|
Multiple of 4 |
Multiple of 8 |
Multiple of 12 |
Multiple of 24 |
|
4 |
8 |
12 |
24 |
|
8 |
16 |
24 |
48 |
|
12 |
24 |
36 |
72 |
|
16 |
32 |
48 |
96 |
|
20 |
40 |
60 |
120 |
|
24 |
48 |
72 |
144 |
|
28 |
56 |
84 |
168 |
LCM (4, 8, 12, 24) = 24
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 4, 8, 12 and 24?
Answer: 24 is the smallest number that is divisible by 4, 8, 12 and 24.
What is the LCM of 12 and 24?
Answer: LCM of 12 and 24 is 24.
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