LCM of 4 and 11

LCM of 4 and 11 is 44. By noting down the multiples of 4 and 11, the number divisible by 4 and 11 is the LCM. Least common multiple of 4 and 11 is the multiple which is commonly obtained by the multiplication process. (4, 8, 12, 16, 20, 24, 28, ….) and (11, 22, 33, 44, 55, 66, 77, ….) are the multiples of 4 and 11. The steps to find the LCM of two numbers according to the listing multiples, prime factorization and division methods can be learnt well in this article.

Also read: Least common multiple

What is LCM of 4 and 11?

The answer to this question is 44. The LCM of 4 and 11 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 11, is the smallest positive integer 44 which is divisible by both 4 and 11 with no remainder.

lcm of 4 and 11

How to Find LCM of 4 and 11?

LCM of 4 and 11 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 4 and 11 Using Prime Factorisation Method

The prime factorisation of 4 and 11, respectively, is given by:

4 = 2 x 2 = 2²

11 = 11¹

LCM (4, 11) = 44

LCM of 4 and 11 Using Division Method

We’ll divide the numbers (4, 11) by their prime factors to get the LCM of 4 and 11 using the division method (preferably common). The LCM of 4 and 11 is calculated by multiplying these divisors.

2

4

11

2

2

11

11

1

11

x

1

1

No further division can be done. 

Hence, LCM (4, 11) = 44

LCM of 4 and 11 Using Listing the Multiples

To calculate the LCM of 4 and 11 by listing out the common multiples, list the multiples as shown below.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ….

Multiples of 11 = 11, 22, 33, 44, 55, 66, …..

LCM (4, 11) = 44

Related Articles

Video Lesson on Applications of LCM

LCM of 4 and 11 Solved Examples 

Question: If the GCD is 1 and the product of two numbers is 44, determine the LCM.

Solution:

Given

GCD = 1

Product = 44

LCM x GCD = Product of two numbers

LCM = Product/GCD

LCM = 44/1

LCM = 44

Hence, the LCM of 4 and 11 is 44.

Frequently Asked Questions on LCM of 4 and 11

Q1

What are the methods used to determine the LCM of 4 and 11?

The methods used to determine the LCM of 4 and 11 are Prime Factorisation, Division method and Listing the multiples
Q2

Using the prime factorisation method, find the LCM of 4 and 11.

First we have to know the factors to find the LCM

4 = 2 x 2 = 2²

11 = 11¹

LCM is the product of prime factors raised to the highest exponent among 4 and 11.

LCM of 4 and 11 = 44

Q3

Find the GCF if the LCM of 4 and 11 is 44.

LCM x GCF = 4 x 11

As the LCM = 44

44 x GCF = 44

GCF = 44/44 = 1

Q4

The LCM and GCD of two numbers are 44 and 1. If one number is 4, calculate the other.

Consider y as the other number

GCD x LCM = 4 x y

y = (GCD x LCM)/4

y = (1 x 44)/ 4

y = 11

Hence, the other number is 11.

Q5

Write the relation between GCF and LCM of 4 and 11.

The relation between GCF and LCM of 4 and 11 is

GCF x LCM = 4 x 11

GCF x LCM = 44

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