LCM of 24 and 27 is 216. The Least Common Multiple or Lowest Common Multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 24 and 27, 216 is the first(least or smallest) number that is common in the set of multiples of 24 and 27. 432 is also the common multiple of 24 and 27. However, 216 is the smallest. Hence 216 is the LCM which is also known as LCD, Least Common Divisor for 24 and 27. You can read more on LCM for further details.
What is LCM of 24 and 27
The Least Common Multiple or Lowest Common Multiple of 24 and 27 is 216.
How to Find LCM of 24 and 27?
LCM of 24 and 27 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 24 and 27 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 24 and 27 can be expressed as;
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3
LCM (24, 27) = 2 × 2 × 2 × 3 × 3 × 3 = 216
LCM of 24 and 27 Using Division Method
In the Division Method, the numbers 24 and 27 are divided by common and uncommon factors. The product of these factors forms the LCM.
|
2 |
24 |
27 |
|
2 |
12 |
27 |
|
2 |
6 |
27 |
|
3 |
3 |
27 |
|
3 |
1 |
9 |
|
3 |
1 |
3 |
|
× |
1 |
1 |
LCM (24, 27) = 2 × 2 × 2 × 3 × 3 × 3 = 216
LCM of 24 and 27 Using Listing the Multiples
By listing all the multiples of 24 and 27, we can identify the LCM. Below is the list of multiples for 24 and 27
|
Multiples of 24 |
Multiples of 27 |
|
24 |
27 |
|
48 |
54 |
|
72 |
81 |
|
96 |
108 |
|
120 |
135 |
|
144 |
162 |
|
168 |
189 |
|
192 |
216 |
|
216 |
243 |
LCM (24, 27) = 216
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 24 and 27?
Answer: 216 is the smallest number that is divisible by both 24 and 27.
What is the LCM for 3, 24 and 27?
Answer: LCM for 3, 24 and 27 is 216 as 3 is the factor of both 24 and 27.
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