LCM of 15, 25 and 30 is 150. The common multiple divisible by 15, 25 and 30 will assist you to find the LCM value. The least common multiple of 15, 25 and 30 is found with the help of multiplication operation crucial in Mathematics. (15, 30, 45, 60, 75, ….), (25, 50, 75, 100, 125, ….) and (30, 60, 90, 120, 150, ….) are the first few multiples of 15, 25 and 30. Few methods like division, prime factorisation and listing of multiples are used to get the value of LCM.
Also read: Least common multiple
What is LCM of 15, 25 and 30?
The answer to this question is 150. The LCM of 15, 25 and 30 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 15, 25 and 30, is the smallest positive integer 150 which is divisible by both 15, 25 and 30 with no remainder.
How to Find LCM of 15, 25 and 30?
LCM of 15, 25 and 30 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15, 25 and 30 Using Prime Factorisation Method
The prime factorisation of 15, 25 and 30, respectively, is given by:
15 = 3 x 5 = 3¹ x 5¹
25 = 5 x 5 = 5²
30 = 2 x 3 x 5 = 2¹ x 3¹ x 5¹
LCM (15, 25, 30) = 150
LCM of 15, 25 and 30 Using Division Method
We’ll divide the numbers (15, 25, 30) by their prime factors to get the LCM of 15, 25 and 30 using the division method (preferably common). The LCM of 15, 25 and 30 is calculated by multiplying these divisors.
|
2 |
15 |
25 |
30 |
|
3 |
15 |
25 |
15 |
|
5 |
5 |
25 |
5 |
|
5 |
1 |
5 |
1 |
|
x |
1 |
1 |
1 |
No further division can be done.
Hence, LCM (15, 25, 30) = 150
LCM of 15, 25 and 30 Using Listing the Multiples
To calculate the LCM of 15, 25 and 30 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 25 = 25, 50, 75, 100, 125, 150, 175, …..
Multiples of 30 = 30, 60, 90, 120, 150, 180, 210, 240, …..
LCM (15, 25, 30) = 150
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Video Lesson on Applications of LCM
LCM of 15, 25 and 30 Solved Examples
Question: In 150, 2, 42, 96, find the LCM of 15, 25 and 30.
Solution:
The LCM value is the smallest common factor of 15, 25 and 30.
The number 150 satisfies this condition.
Hence, the LCM is 150.
Frequently Asked Questions on LCM of 15, 25 and 30
Find the LCM of 15, 25 and 30.
What methods can we use to determine the LCM of 15, 25 and 30?
Find the GCF if the LCM of 15, 25 and 30 is 150.
LCM x GCF = 15 x 25 x 30
Given
LCM of 15, 25 and 30 = 150
150 x GCF = 11250
GCF = 11250/150 = 75
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