LCM of 15 and 50 is 150. LCM is the number evenly divisible by 15 and 50. Using the common multiples, the least common multiple of 15 and 50 can be found. The multiples of 15 are (15, 30, 45, 60, 75, 90, ….) and the multiples of 50 are (50, 100, 150, 200, 250, 300, ….) respectively. Division, Prime factorisation and listing of the multiples are the common methods we can use to get the LCM value.
Also read: Least common multiple
What is LCM of 15 and 50?
The answer to this question is 150. The LCM of 15 and 50 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 15 and 50, is the smallest positive integer 150 which is divisible by both 15 and 50 with no remainder.
How to Find LCM of 15 and 50?
LCM of 15 and 50 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15 and 50 Using Prime Factorisation Method
The prime factorisation of 15 and 50, respectively, is given by:
15 = 3 x 5 = 3¹ x 5¹
50 = 2 x 5 x 5 = 2¹ x 5²
LCM (15, 50) = 150
LCM of 15 and 50 Using Division Method
We’ll divide the numbers (15, 50) by their prime factors to get the LCM of 15 and 50 using the division method (preferably common). The LCM of 15 and 50 is calculated by multiplying these divisors.
|
2 |
15 |
50 |
|
3 |
15 |
25 |
|
5 |
5 |
25 |
|
5 |
1 |
5 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (15, 50) = 150
LCM of 15 and 50 Using Listing the Multiples
To calculate the LCM of 15 and 50 by listing out the common multiples, list the multiples as shown below.
Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ……
Multiples of 50 = 50, 100, 150, 200, 250, ……
LCM (15, 50) = 150
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Video Lesson on Applications of LCM
LCM of 15 and 50 Solved Examples
Question: Find the LCM if the GCD is 5 and the product of two numbers is 750.
Solution:
It is given that;
GCD = 5
Product of two numbers = 750
We know that;
LCM x GCD = product of two numbers
LCM = product of two numbers/ GCD
LCM = 750/5
LCM = 150
Hence, the LCM is 150.
Frequently Asked Questions on LCM of 15 and 50
What is the LCM of 15 and 50?
If the LCM of 15 and 50 is 150, determine the GCF.
LCM x GCF = 15 x 50
Given,
LCM of 15 and 50 is 150
150 x GCF = 750
GCF = 750/150 = 5
What are the methods used to find the LCM of 15 and 50?
The methods used to find the LCM of 15 and 50 are
Division method
Prime Factorisation
Listing the multiples
Among 150, 12, 2, 25, what is the LCM of 15 and 50?
Show the relation between GCF and LCM of 15 and 50.
The relation between GCF and LCM of 15 and 50 is
GCF x LCM = 15 x 50
GCF x LCM = 750
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