LCM of 11 and 14

LCM of 11 and 14 is 154. Students can know the Least common multiple value of 11 and 14 using the common multiples. (11, 22, 33, 44, 55, 66, ….) and (14, 28, 42, 56, 70, 84,….) are the multiples of 11 and 14. The methods used to determine the LCM of two numbers are prime factorisation, division and listing the multiples. 

Also read: Least common multiple

What is LCM of 11 and 14?

The answer to this question is 154. The LCM of 11 and 14 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 11 and 14, is the smallest positive integer 154 which is divisible by both 11 and 14 with no remainder.

lcm of 11 and 14

How to Find LCM of 11 and 14?

LCM of 11 and 14 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 11 and 14 Using Prime Factorisation Method

The prime factorisation of 11 and 14, respectively, is given by:

11 = 11 = 11¹

14 = 2 x 7 = 2¹ x 7¹

LCM (11, 14) = 154

LCM of 11 and 14 Using Division Method

We’ll divide the numbers (11, 14) by their prime factors to get the LCM of 11 and 14 using the division method (preferably common). The LCM of 11 and 14 is calculated by multiplying these divisors.

2

11

14

7

11

7

11

11

1

x

1

1

No further division can be done. 

Hence, LCM (11, 14) = 154

LCM of 11 and 14 Using Listing the Multiples

To calculate the LCM of 11 and 14 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, ….

Multiples of 14 = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, …..

LCM (11, 14) = 154

Related Articles

Video Lesson on Applications of LCM

LCM of 11 and 14 Solved Examples 

Question: If the GCD is 1 and the product of two numbers is 154, determine the LCM.

Solution:

Given

GCD = 1

Product = 154

LCM x GCD = Product of two numbers

LCM = Product/ GCD

LCM = 154/1

LCM = 154

Hence, the LCM of 11 and 14 is 154.

Frequently Asked Questions on LCM of 11 and 14

Q1

In the numbers 111, 133, 154, 280, find the LCM of 11 and 14.

The LCM value is the smallest common multiple which is divisible evenly by 11 and 14. The number which satisfies this condition is 154.
Q2

Determine the GCF if the LCM of 11 and 14 is 154.

LCM x GCF = 11 x 14

Given

LCM of 11 and 14 = 154

154 x GCF = 154

GCF = 154/154 = 1

Q3

Show the relation between GCF and LCM of 11 and 14.

The relation between GCF and LCM of 11 and 14 is:

LCM x GCF = 11 x 14

LCM x GCF = 154

Q4

What are the methods used to find the LCM of 11 and 14?

The methods used to find the LCM of 11 and 14 are prime factorisation, division and listing the multiples.
Q5

What is the LCM of 11 and 14?

The LCM of 11 and 14 is 154.

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