LCM of 3 and 18 is 18. The least common multiple denotes the smallest positive integer which is multiple in a given set of numbers. The article Least Common Multiple (LCM) guides students to understand the LCM concept in a precise manner and improve the skills which are vital to secure high marks in exams. Students who feel difficulty in calculating the least common multiple of given numbers can make use of this article for effective learning. Let us glance at how to verify the least common multiple of 3 and 18 in an efficient manner here.
What is LCM of 3 and 18?
The Least Common Multiple of 3 and 18 is 18.
How to Find LCM of 3 and 18?
The LCM of 3 and 18 can be obtained by using the methods given below:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 3 and 18 Using Prime Factorisation Method
In this method, the given natural numbers are denoted as the product of prime factors. Hence the numbers 3 and 18 can be expressed as;
3 = 3
18 = 2 × 3 × 3
LCM (3, 18) = 2 × 3 × 3 = 18
LCM of 3 and 18 Using Division Method
In the division method, we divide the numbers 3 and 18 by a common prime number until the remainder is a prime number or one. The product of these divisors shows the least common multiple of 3 and 18.
| 2 | 3 | 18 |
| 3 | 3 | 9 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (3, 18) = 2 × 3 × 3 = 18
LCM of 3 and 18 Using Listing the Multiples
In this method, we list the multiples of each number until the first common multiple is found among them. The following table shows the multiples of 3 and 18.
| Multiples of 3 | Multiples of 18 |
| 3 | 18 |
| 6 | 36 |
| 9 | 54 |
| 12 | 72 |
| 15 | 90 |
| 18 | 108 |
| 21 | 126 |
LCM (3, 18) = 18
Related Articles
Prime Factorisation 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 3 and 18?
Solution: 18 is the smallest number that is divisible by both 3 and 18.
2. Which of the following is the LCM of 3 and 18?
21, 90, 36, 18.
Solution: The LCM of 3 and 18 is 18.
Frequently Asked Questions on LCM of 3 and 18
What is the LCM of 3 and 18?
Is the LCM of 3 and 18 the same as the HCF of 3 and 18?
List the first five multiples of 3 and 18.
The first five multiples of 3 and 18 are as follows:
Multiples of 3 = 3, 6, 9, 12, and 15
Multiples of 18 = 18, 36, 54, 72, and 90
Mention the methods used to find the LCM of 3 and 18.
The methods used to find the LCM of 3 and 18 are
Prime Factorisation
Division Method
Listing the Multiples
Determine the GCF if the LCM of 3 and 18 is 18.
GCF × LCM = 3 × 18
Given
LCM = 18
GCF × 18 = 3 × 18
GCF = 3
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