LCM of 5 and 15 is 15. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. LCM of 5 and 15 is the smallest number among all common multiples of 5 and 15. The first few multiples of 5 and 15 are (5, 10, 15, 20, 25, 30, . . . ) and (15, 30, 45, 60, 75, 90, 105, . . . ) respectively. There are 3 commonly used methods to find LCM of 5 and 15 – by listing multiples, by division method, and by prime factorization.
Also read: Least common multiple
What is LCM of 5 and 15?
The answer to this question is 15. The LCM of 5 and 15 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 15, is the smallest positive integer 15 which is divisible by both 5 and 15 with no remainder.
How to Find LCM of 5 and 15?
LCM of 5 and 15 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 15 Using Prime Factorisation Method
The prime factorisation of 5 and 15, respectively, is given by:
5 = 5
15 = 3 x 5
LCM (5, 15) = 15
LCM of 5 and 15 Using Division Method
We’ll divide the numbers (5, 15) by their prime factors to get the LCM of 5 and 15 using the division method (preferably common). The LCM of 5 and 15 is calculated by multiplying these divisors.
|
3 |
5 |
15 |
|
5 |
5 |
5 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (5, 15) = 15
LCM of 5 and 15 Using Listing the Multiples
To calculate the LCM of 5 and 15 by listing out the common multiples, list the multiples as shown below:
|
Multiples of 5 |
Multiples of 15 |
|
5 |
15 |
|
10 |
30 |
|
15 |
45 |
|
20 |
60 |
|
25 |
75 |
The smallest common multiple of 5 and 15 is 15.
LCM (5, 15) = 15
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LCM of 5 and 15 Solved Example
Find the smallest number that is divisible by 5 and 15 exactly.
Solution:
The smallest number that is divisible by 5 and 15 exactly is their LCM.
Multiples of 5 and 15:
Multiples of 5 = 5, 10, 15, 20, 25, 30, . . . .
Multiples of 15 = 15, 30, 45, 60, 75, 90, . . . .
Therefore, the LCM of 5 and 15 is 15.
Frequently Asked Questions on LCM of 5 and 15
What is the LCM of 5 and 15?
Which of the following is the LCM of 5 and 15? 3, 28, 15, 12
If the LCM of 15 and 5 is 15, Find its GCF.
Since the LCM of 15 and 5 = 15
⇒ 15 × GCF(15, 5) = 75
Therefore, the GCF (greatest common factor) = 75/15 = 5.
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