LCM of 3 and 5 is 15. The number which is evenly divisible by the two given numbers is the LCM. We can get the Least common multiple of 3 and 5 from the multiples which are common. The multiples of 3 are (3, 6, 9, 12, 15, 18, 21, ….) and the multiples of 5 are (5, 10, 15, 20, 25, 30, ….) respectively. The most common methods used to find the LCM are prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 3 and 5?
The answer to this question is 15. The LCM of 3 and 5 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 3 and 5, is the smallest positive integer 15 which is divisible by both 3 and 5 with no remainder.
How to Find LCM of 3 and 5?
LCM of 3 and 5 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 5 Using Prime Factorisation Method
The prime factorisation of 3 and 5, respectively, is given by:
3 = 3¹
5 = 5¹
LCM (3, 5) = 15
LCM of 3 and 5 Using Division Method
We’ll divide the numbers (3, 5) by their prime factors to get the LCM of 3 and 5 using the division method (preferably common). The LCM of 3 and 5 is calculated by multiplying these divisors.
| 3 | 3 | 5 |
| 5 | 1 | 5 |
| 1 | 1 |
No further division can be done.
Hence, LCM (3, 5) = 15
LCM of 3 and 5 Using Listing the Multiples
To calculate the LCM of 3 and 5 by listing out the common multiples, list the multiples as shown below
| Multiples of 3 | Multiples of 5 |
| 3 | 5 |
| 6 | 10 |
| 9 | 15 |
| 12 | 20 |
| 15 | 25 |
| 18 | 30 |
| 21 | 35 |
LCM (3, 5) = 15
Related Articles
Video Lesson on Applications of LCM
LCM of 3 and 5 Solved Examples
Question: The LCM and GCD of the two numbers are 15 and 1, respectively. If one number is 5, what is the other number?
Solution:
Consider the number as z.
We know that
GCD x LCM = 5 x z
z = (GCD x LCM)/5
Substituting the values
z = (1 x 15)/5
z = 3
Hence, the other number is 3.
Frequently Asked Questions on LCM of 3 and 5
Find the GCF if the LCM of 3 and 5 is 15.
We know that
LCM x GCF = 3 x 5
As LCM (3, 5) is 15
15 x GCF = 15
GCF = 15/15 = 1
Determine the LCM of 3 and 5.
The LCM of 3 and 5 is 15. To find the LCM, we first should know the multiples of 3 and 5.
Multiples of 3 = 3, 6, 9, 12, 15, 18, ……
Multiples of 5 = 5, 10, 15, 20, 25, 30, ….
The smallest multiple exactly divisible by 3 and 5 is 15.
What is the relation between GCF and LCM of 3 and 5?
The relation between GCF and LCM of 3 and 5 is
LCM x GCF = 3 x 5
LCM x GCF = 15
Comments