LCM of 12, 16, 24 and 36 is 144. LCM also known as Least Common multiple or Lowest common multiple is the smallest or the least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 12, 16, 24 and 36. The answer is 144. 144 is the first/smallest/least number that is commonly divisible by 12, 16, 24 and 36. You can refer to the LCM with Examples for more understanding.
What is LCM of 12, 16, 24 and 36
The Least Common Multiple or Lowest Common Multiple of 12, 16, 24 and 36 is 144.
How to Find LCM of 12, 16, 24 and 36?
LCM of 12, 16, 24 and 36 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 12, 16, 24 and 36 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 12, 16, 24 and 36 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
36 = 2 x 2 x 3 x 3
LCM (12, 16, 24, 36) = 2 x 2 x 2 x 2 x 3 x 3 = 144
LCM of 12, 16, 24 and 36 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 | 36 |
| 2 | 6 | 8 | 12 | 18 |
| 3 | 3 | 4 | 6 | 9 |
| 2 | 1 | 4 | 2 | 3 |
| 2 | 1 | 2 | 1 | 3 |
| 3 | 1 | 1 | 1 | 3 |
| x | 1 | 1 | 1 | 1 |
LCM (12,16, 24, 36) = 2 x 2 x 2 x 2 x 3 x 3 = 144
LCM of 12, 16, 24 and 36 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, 24 and 36
Multiples of 12: 12, 24, 36, 48…..120, 132, 144,….
Multiples of 16: 16, 32, 48…., 112, 128, 144, …
Multiples of 24: 24, 48, 72, …., 120, 144,…
Multiples of 36: 36, 72, 108, 144,…
LCM (12, 16, 24, 36) = 144
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 12, 16, 24 and 36?
Answer: 144 is the smallest number that is divisible by 12, 16, 24 and 36.
What is the LCM of 12 and 24?
Answer: LCM of 12 and 24 is 24.
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