LCM of 11 and 18

LCM of 11 and 18 is 198. The common multiple evenly divisible by 11 and 18 is the LCM. The least common multiple of 11 and 18 is the common multiple we get using the multiplication operation. (11, 22, 33, 44, 55, 66, ….) and (18, 36, 54, 72, 90, 108, ….) are the first few multiples of 11 and 18. Division, prime factorisation and listing of multiples are the methods used to get the LCM value. 

Also read: Least common multiple

What is LCM of 11 and 18?

The answer to this question is 198. The LCM of 11 and 18 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 18, is the smallest positive integer 198 which is divisible by both 11 and 18 with no remainder.

LCM of 11 and 18

How to Find LCM of 11 and 18?

LCM of 11 and 18 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 11 and 18 Using Prime Factorisation Method

The prime factorisation of 11 and 18, respectively, is given by:

11 = 11¹

18 = 2 x 3 x 3 = 2¹ x 3²

LCM (11, 18) = 198

LCM of 11 and 18 Using Division Method

We’ll divide the numbers (11, 18) by their prime factors to get the LCM of 11 and 18 using the division method (preferably common). The LCM of 11 and 18 is calculated by multiplying these divisors.

2

11

18

3

11

9

3

11

3

11

11

1

x

1

1

No further division can be done. 

Hence, LCM (11, 18) = 198

LCM of 11 and 18 Using Listing the Multiples

To calculate the LCM of 11 and 18 by listing out the common multiples, list the multiples as shown below

Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, ……

Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, ……

LCM (11, 18) = 198

Related Articles

Video Lesson on Applications of LCM

LCM of 11 and 18 Solved Examples 

Question: What is the LCM if the product of two numbers is 198 and the GCD is 1?

Solution:

It is given that,

Product of two numbers = 198

GCD = 1

We know that

LCM x GCD = Product of two numbers

LCM = Product/GCD

LCM = 198/1

LCM = 198

Hence, the LCM is 198.

Frequently Asked Questions on LCM of 11 and 18

Q1

Find the LCM of 11 and 18.

The LCM of 11 and 18 is 198. To find the LCM, we should consider the multiples of 11 and 18 and the smallest multiple exactly divisible by 11 and 18 has to be determined.
Q2

Which methods can be used to find the LCM of 11 and 18?

The methods that can be used to find the LCM of 11 and 18 are Prime Factorization Method, Division Method and Listing multiples.
Q3

Find the GCF if the LCM of 11 and 18 is 198.

LCM x GCF = 11 x 18

Given

LCM of 11 and 18 = 198

198 x GCF = 198

GCF = 198/198 = 1

Q4

Which value is the LCM of 11 and 18? 30, 12, 198, 50

The smallest common multiple of 11 and 18 which divides evenly is the LCM value. The number 198 satisfies this condition.
Q5

Write the relation between the GCF and LCM of 11 and 18.

The relation between the GCF and LCM of 11 and 18 is

GCF x LCM = 11 x 18

GCF x LCM = 198

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*