LCM of 2, 3 and 5 is 30. The lowest common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. LCM with Examples has been designed by subject matter experts in a well-structured format for effective learning of the LCM concept. Practising the problems following the article prepared by expert faculty undoubtedly helps students to grasp the concept in a better way. Let us learn how to find the least common multiple of 2, 3 and 5 using a simple method in this article.
What is LCM of 2, 3 and 5?
The Least Common Multiple of 2, 3 and 5 is 30.
How to Find LCM of 2, 3 and 5?
The LCM of 2, 3 and 5 can be obtained using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2, 3 and 5 Using Prime Factorisation Method
In the prime factorisation method, the LCM of two or more numbers is the product of prime factors. Hence the numbers 2, 3 and 5 can be expressed as;
2 = 2
3 = 3
5 = 5
LCM (2, 3, 5) = 2 × 3 × 5 = 30
LCM of 2, 3 and 5 Using Division Method
In the division method, to calculate the LCM, we divide the numbers 2, 3 and 5 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 2, 3 and 5.
| 2 | 2 | 3 | 5 |
| 3 | 1 | 3 | 5 |
| 5 | 1 | 1 | 5 |
| x | 1 | 1 | 1 |
No more further division can be done.
Hence, LCM (2, 3, 5) = 2 × 3 × 5 = 30
LCM of 2, 3 and 5 Using Listing the Multiples
In this method, we list down the multiples of given numbers to find the least common multiple among them. Let us glance at the multiples of 2, 3 and 5 mentioned below.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ………, 26, 28, 30, ………..
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ………..
Multiples of 5: 5, 10, 15, 20, 25, 30, …………
LCM (2, 3, 5) = 30
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by 2, 3, 5 exactly?
Solution: 30 is the smallest number that is divisible by 2, 3, 5 exactly.
Q. 2: What is the least common factor of 2, 3 and 5?
Solution: The least common factor of 2, 3 and 5 is 30.
Frequently Asked Questions on LCM of 2, 3 and 5
What is the LCM of 2, 3 and 5?
Mention the LCM of 2, 3 and 5 and the HCF of 2, 3 and 5.
Is 40 the LCM of 2, 3 and 5?
Name the methods used to determine the LCM of 2, 3 and 5.
The methods used to determine the LCM of 2, 3 and 5 are
Prime Factorisation
Division Method
Listing the Multiples
List the first five multiples of 2, 3 and 5.
The first five multiples of 2, 3 and 5 are as follows:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 5: 5, 10, 15, 20, 25
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