LCM of 3, 5 and 15 is 15. Here the given set of numbers are 3, 5 and 15. The smallest common multiple for all these numbers among many is 15, and hence it is the LCM. 30, 60 are also the common multiples. You can refer to Multiples. LCM is the abbreviation for Least Common Multiple or Lowest Common Multiple. LCM and LCD are both same, However LCD stands for Least Common Divisor.
What is LCM of 3, 5 and 15
The Least Common Multiple or Lowest Common Multiple of 3, 5 and 15 is 15.
How to Find LCM of 3, 5 and 15?
LCM of 3, 5 and 15 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3, 5 and 15 Using Prime Factorisation Method
In the Prime Factorisation method, 3, 5 and 15 can be expressed as;
3 = 1 × 3
5 = 1 × 5
15 = 3 × 5
The product of common factors 3 and 5 is the LCM.
LCM (3, 5 and 15) = 3 × 5 = 15
LCM of 3, 5 and 15 Using Division Method
In the Division Method, 3, 5, and 15 are divided by prime divisors and the product of them is the LCM.
|
3 |
3 |
5 |
15 |
|
5 |
1 |
5 |
5 |
|
× |
1 |
1 |
1 |
LCM (3, 5 and 15) = 3 × 5 = 15
LCM of 3, 5 and 15 Using Listing the Multiples
By listing all the multiples of 3, 5 and 15, we can identify the least common multiple, which is the LCM. Below is the list of multiples for 3, 5 and 15
|
Multiple of 3 |
Multiple of 5 |
Multiple of 15 |
|
3 |
5 |
15 |
|
6 |
10 |
30 |
|
9 |
15 |
45 |
|
12 |
20 |
60 |
|
15 |
25 |
75 |
LCM (3, 5 and 15) = 15
Related Articles
- LCM
- HCF and LCM
- LCM Formula
- LCM Calculator
- Prime Factorization and Division method
- LCM with Examples
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 3, 5 and 15?
Answer: 15 is the smallest number that is divisible by 3, 5 and 15.
What is the LCM of 3 and 15?
Answer: LCM of 3 and 15 is 15.
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