LCM of 5, 10 and 15 is 30. LCM of two numbers can be defined as the smallest non-zero common number which is a multiple of both the numbers. It is essential for students to follow the best study guide to understand the LCM concept in a better way. For this purpose, expert faculty prepared the Least Common Multiple (LCM) to enhance the learning process among students. Let us learn the simple procedure of representing the least common multiple of 5, 10 and 15 with the help of solved examples and FAQs in this article.
What is LCM of 5, 10 and 15?
The answer to this question is 30.
How to Find LCM of 5, 10 and 15?
The LCM of 5, 10 and 15 can be determined by using the methods mentioned below:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 5, 10 and 15 Using Prime Factorisation Method
The prime factorisation method is one of the most common ways of calculating LCM. To find the LCM of 5, 10 and 15, we use the steps as follows:
5 = 5
10 = 2 × 5
15 = 3 × 5
LCM (5, 10, 15) = 2 × 3 × 5 = 30
LCM of 5, 10 and 15 Using Division Method
In the division method, to calculate the least common multiple of 5, 10 and 15, we divide the numbers 5, 10 and 15 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 5, 10 and 15.
| 2 | 5 | 10 | 15 |
| 3 | 5 | 5 | 15 |
| 5 | 5 | 5 | 5 |
| x | 1 | 1 | 1 |
No more further division can be done.
Hence, LCM (5, 10, 15) = 2 × 3 × 5 = 30
LCM of 5, 10 and 15 Using Listing the Multiples
In this method, we list out the multiples of given numbers to find the least common multiple. Let us have a look at the multiples of 5, 10 and 15 from the table mentioned below.
| Multiples of 5 | Multiples of 10 | Multiples of 15 |
| 5 | 10 | 15 |
| 10 | 20 | 30 |
| 15 | 30 | 45 |
| 20 | 40 | 60 |
| 25 | 50 | 75 |
| 30 | 60 | 90 |
| 35 | 70 | 105 |
LCM (5, 10, 15) = 30
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by 5, 10, 15 exactly?
Solution: 30 is the smallest number that is divisible by 5, 10, 15 exactly.
2. What is the lowest common factor of 5, 10 and 15?
Solution: The lowest common factor of 5, 10 and 15 is 30.
Frequently Asked Questions on LCM of 5, 10 and 15
What is the LCM of 5, 10 and 15?
Is the LCM of 5, 10 and 15 the same as the HCF of 5, 10 and 15?
Is 30 the LCM of 5, 10 and 15?
Name the methods used to find the LCM of 5, 10 and 15.
The methods used to find the LCM of 5, 10 and 15 are
Prime Factorisation
Division Method
Listing the Multiples
Write the relation between GCF and LCM of 5, 10 and 15.
The relation between GCF and LCM of 5, 10 and 15 is
GCF × LCM = 5 × 10 × 15
GCF × LCM = 750
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