LCM of 1 and 5 is 5. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. LCM of 1 and 5 is the smallest number among all common multiples of 1 and 5. The first few multiples of 1 and 5 are (1, 2, 3, 4, 5, 6, . . . ) and (5, 10, 15, 20, 25, 30, 35, . . . ) respectively. There are 2 commonly used methods to find LCM of 1 and 5 – by division method and by listing multiples. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 1 and 5?
The answer to this question is 5. The LCM of 1 and 5 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 1 and 5, is the smallest positive integer 5 which is divisible by both 1 and 5 with no remainder.
How to Find LCM of 1 and 5?
LCM of 1 and 5 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 1 and 5 Using Prime Factorisation Method
The prime factorisation of 1 and 5, respectively, is given by:
1 = 1
5 = 5
LCM (1, 5) = 5
LCM of 1 and 5 Using Division Method
We’ll divide the numbers (1, 5) by their prime factors to get the LCM of 1 and 5 using the division method (preferably common). The LCM of 1 and 5 is calculated by multiplying these divisors.
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (1, 5) = 5
LCM of 1 and 5 Using Listing the Multiples
To calculate the LCM of 1 and 5 by listing out the common multiples, list the multiples as shown below.
| Multiples of 1 | Multiples of 5 |
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |
The smallest common multiple of 1 and 5 is 72.
Therefore LCM (1, 5) = 5
Related Articles
Video Lesson on Applications of LCM
LCM of 1 and 5 Solved Example
The GCD and LCM of the two numbers are 1 and 5 respectively. If one number is 5, find the other number.
Solution:
Let the other number be z.
∵ GCD × LCM = 5 × z
⇒ z = (GCD × LCM)/5
⇒ z = (1 × 5)/5
⇒ z = 1
Therefore, the other number is 1.
Frequently Asked Questions on LCM of 1 and 5
What is the LCM of 1 and 5?
Which of the following is the LCM of 1 and 5? 36, 18, 15, 5
What are the Methods to Find LCM of 1 and 5?
Listing Multiples
Division Method
If the LCM of 5 and 1 is 5, Find its GCF.
Since the LCM of 5 and 1 = 5
⇒ 5 × GCF(5, 1) = 5
Therefore, the GCF = 5/5 = 1.
Comments