LCM of 25 and 30

LCM of 25 and 30 is 150. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all frequent multiples of 25 and 30 is the LCM of 25 and 30. (25, 50, 75, 100, 125, 150, etc.) and (30, 60, 90, 120, 150, 180, 210, etc.) are the first few multiples of 25 and 30. To find the LCM of 25 and 30, there are three typical methods: prime factorization, listing multiples, and division.

Also read: Least common multiple

What is LCM of 25 and 30?

The answer to this question is 150. The LCM of 25 and 30 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 25 and 30, is the smallest positive integer 150 which is divisible by both 25 and 30 with no remainder.

lcm of 25 and 30

How to Find LCM of 25 and 30?

LCM of 25 and 30 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 25 and 30 Using Prime Factorisation Method

The prime factorisation of 25 and 30, respectively, is given by:

25 = (5 × 5) = 52 and 

30 = (2 × 3 × 5) = 21 × 31 × 51

LCM (24, 36) = 60

LCM of 25 and 30 Using Division Method

We’ll divide the numbers (25, 30) by their prime factors to get the LCM of 25 and 30 using the division method (preferably common). The LCM of 25 and 30 is calculated by multiplying these divisors.

2 25 30
3 25 15
5 25 5
5 5 1
x 1 1

No further division can be done.

Hence, LCM (25, 30) = 150

LCM of 25 and 30 Using Listing the Multiples

To calculate the LCM of 25 and 30 by listing out the common multiples, list the multiples as shown below

Multiples of 25 Multiples of 30
25 30
50 60
75 90
100 120
125 150
150 180

The smallest common multiple of 25 and 30 is 150.

LCM (25, 30) = 216

Related Articles

Video Lesson on Applications of LCM

LCM of 25 and 30 Solved Example

The product of two numbers is 750. If their GCD is 5, what is their LCM?

Given: GCD = 5

product of numbers = 750

LCM × GCD = product of numbers

LCM = Product/GCD = 750/5

Therefore, the LCM is 150.

The probable combination for the given case is LCM(25, 30) = 150.

Frequently Asked Questions on LCM of 25 and 30

Q1

What is the LCM of 25 and 30?

The LCM of 25 and 30 is 150. To find the least common multiple of 25 and 30, we need to find the multiples of 25 and 30 (multiples of 25 = 25, 50, 75, 100 . . . . 150; multiples of 30 = 30, 60, 90, 120 . . . . 150) and choose the smallest multiple that is exactly divisible by 25 and 30, i.e., 150.
Q2

If the LCM of 30 and 25 is 150, Find its GCF.

LCM(30, 25) × GCF(30, 25) = 30 × 25
Since the LCM of 30 and 25 = 150
⇒ 150 × GCF(30, 25) = 750
Therefore, the greatest common factor = 750/150 = 5.
Q3

What is the Relation Between GCF and LCM of 25, 30?

The following equation can be used to express the relation between GCF and LCM of 25 and 30, i.e. GCF × LCM = 25 × 30.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*