LCM of 5 and 30 is 30. In Mathematics, LCM stands for least common multiple. Students can make use of the article Least Common Multiple (LCM) drafted by expert teachers to understand the LCM concept efficiently. In this article, the LCM concept is explained in detail to provide students with the best conceptual knowledge. Following this article on a daily basis helps students to clear their doubts instantly. Let us learn how to determine the least common multiple of 5 and 30 with a complete explanation in this article.
What is LCM of 5 and 30?
The Least Common Multiple of 5 and 30 is 30.
How to Find LCM of 5 and 30?
LCM of 5 and 30 can be determined using three methods
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 30 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. The least common multiple will be the product of all prime factors with the highest degree.
5 = 5
30 = 2 × 3 × 5
LCM (5, 30) = 2 × 3 × 5 = 30
LCM of 5 and 30 Using Division Method
In the division method, to calculate the least common multiple of 5 and 30, we divide the numbers 5 and 30 by their prime factors until we get the result as one in the complete row. The product of these divisors depicts the least common multiple of 5 and 30.
| 2 | 5 | 30 |
| 3 | 5 | 15 |
| 5 | 5 | 5 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (5, 30) = 2 × 3 × 5 = 30
LCM of 5 and 30 Using Listing the Multiples
In this method, we list the multiples of 5 and 30 to find the least common multiple among them. Let us glance at the multiples of 5 and 30 from the table given below.
| Multiples of 5 | Multiples of 30 |
| 5 | 30 |
| 10 | 60 |
| 15 | 90 |
| 20 | 120 |
| 25 | 150 |
| 30 | 180 |
| 35 | 210 |
LCM (5, 30) = 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 both 5 and 30?
Solution: 30 is the smallest number that is divisible by both 5 and 30.
2. What is the lowest common factor of 5 and 30?
Solution: The lowest common factor of 5 and 30 is 30.
Frequently Asked Questions on LCM of 5 and 30
What is the LCM of 5 and 30?
What is the difference between the LCM of 5 and 30 and the HCF of 5 and 30?
List the first five multiples of 5 and 30.
The first five multiples of 5 and 30 are as follows
Multiples of 5 = 5, 10, 15, 20, and 25
Multiples of 30 = 30, 60, 90, 120, and 150
What are the methods used to find the LCM of 5 and 30?
The methods used to find the LCM of 5 and 30 are as follows:
Prime Factorisation
Division Method
Listing the Multiples
If the LCM of 5 and 30 is 30. What is the GCF?
GCF × LCM = 5 × 30
Given
LCM = 30
GCF × 30 = 5 × 30
GCF = 5
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