LCM of 18, 36 and 27 is 108. LCM, also known as Least Common Multiple or Lowest common multiple, is the smallest positive numeral that is divisible by the given numbers. Consider the example for finding the LCM of 18, 36 and 27. The answer is 108. 108 is divisible by 18, 36 and 27. Even 216 is divisible by 18, 36 and 27, however it is not the LCM for 18, 36 and 27. The smaller number than 216 is 108 which is divisible by 18, 36 and 27. Hence 108 is the Least Common Multiple for 18, 36 and 27. You can refer to LCM for more details.
What is LCM of 18, 36 and 27
The Least Common Multiple or Lowest Common Multiple of 18, 36 and 27 is 108.
How to Find LCM of 18, 36 and 27?
LCM of 18, 36 and 27 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18, 36 and 27 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 18, 36 and 27 can be expressed as;
18 = 2 × 3 × 3
36 = 2 × 2 × 3 × 3
27 = 3 × 3 × 3
Multiplying the common and uncommon factors of 18, 36 and 27, LCM can be determined.
LCM (18, 36 and 27) = 2 × 2 × 3 × 3 × 3 = 108
LCM of 18, 36 and 27 Using Division Method
In the Division Method, the given set of numbers 18, 36 and 27 are divided by prime divisors starting from the least in increasing order. The product of the Prime divisors will be LCM.
|
2 |
18 |
36 |
27 |
|
2 |
9 |
18 |
27 |
|
3 |
9 |
9 |
27 |
|
3 |
3 |
3 |
9 |
|
3 |
1 |
1 |
3 |
|
× |
1 |
1 |
1 |
LCM (18, 36 and 27) = 2 × 2 × 3 × 3 × 3 = 108
LCM of 18, 36 and 27 Using Listing the Multiples
By listing all the multiples of given numbers, we can see the first common multiple, which is the LCM. Below is the list of multiples for 18, 36 and 27
|
Multiples of 18 |
Multiples of 36 |
Multiples of 27 |
|
18 |
36 |
27 |
|
36 |
72 |
54 |
|
54 |
108 |
81 |
|
72 |
144 |
108 |
|
90 |
180 |
135 |
|
108 |
216 |
162 |
LCM (18, 36 and 27) = 108
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 18, 36 and 27?
Answer: 108 is the smallest number that is divisible by 18, 36 and 27.
What is the LCM for 2 and 108?
Answer: LCM for 2 and 108 is 108 as 2 is the factor of 108.
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