LCM of 12, 16 and 24 is 48. LCM stands for Least Common Multiple or the Lowest common multiple also known as LCD Least Common Divisor is the positive integer that is a common multiple to the given set of numbers. Here the given set of numbers are 12, 16 and 24. The smallest common multiple for all these numbers among many is 48, and hence it is the LCM. You can use the Prime Factorization and Division method to find the LCM of any two numbers.
What is LCM of 12, 16 and 24
The Least Common Multiple or Lowest Common Multiple of 12, 16 and 24 is 48.
How to Find LCM of 12, 16 and 24?
LCM of 12, 16 and 24 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 12, 16 and 24 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 12, 16 and 24 can be expressed as;
12 = 2 x 2 x 3
16 = 2 x 2 x 2 x 2
24 = 2 x 2 x 2 x 3
LCM(12, 16 and 24) = 2 x 2 x 2 x 2 x 3 = 48
LCM of 12, 16 and 24 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
12 |
16 |
24 |
|
2 |
6 |
8 |
12 |
|
3 |
3 |
4 |
6 |
|
2 |
1 |
4 |
2 |
|
2 |
1 |
2 |
1 |
|
x |
1 |
1 |
1 |
LCM(12, 16 and 24) = 2 x 2 x 2 x 2 x 3 = 48
LCM of 12, 16 and 24 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 12, 16 and 24
|
Multiples of 12 |
Multiples of 16 |
Multiples of 24 |
|
12 |
16 |
24 |
|
24 |
32 |
48 |
|
36 |
48 |
72 |
|
48 |
54 |
96 |
LCM(12, 16 and 24) = 48
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 12, 16 and 24?
Answer: 48 is the smallest number that is divisible by 12, 16 and 24.
What is the LCM of 8, 12, 24 and 16?
Answer: LCM of 8, 12, 24 and 16 is 48.
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