LCM of 8 and 28

LCM of 8 and 28 is 56. The smallest number divisible evenly among the multiples of the numbers 8 and 28 gives the LCM. The common multiples of the two numbers helps you find the least common multiple of 8 and 28. (8, 16, 24, 32, 40, 48, ….) and (28, 56, 84, 112, 140, 168,….) are the multiples of 8 and 28. The LCM of the given numbers using the prime factorisation method, division method and by listing out the multiples is explained briefly in this article. 

Also read: Least common multiple

What is LCM of 8 and 28?

The answer to this question is 56. The LCM of 8 and 28 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 8 and 28, is the smallest positive integer 56 which is divisible by both 8 and 28 with no remainder.

Lcm Of 8 And 28

How to Find LCM of 8 and 28?

LCM of 8 and 28 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 8 and 28 Using Prime Factorisation Method

The prime factorisation of 8 and 28, respectively, is given by:

8 = 2 x 2 x 2 = 2³

28 = 2 x 2 x 7 = 2² x 7¹

LCM (8, 28) = 56

LCM of 8 and 28 Using Division Method

We’ll divide the numbers (8, 28) by their prime factors to get the LCM of 8 and 28 using the division method (preferably common). The LCM of 8 and 28 is calculated by multiplying these divisors.

2

8

28

2

4

14

2

2

7

7

1

7

x

1

1

No further division can be done. 

Hence, LCM (8, 28) = 56

LCM of 8 and 28 Using Listing the Multiples

To calculate the LCM of 8 and 28 by listing out the common multiples, list the multiples as shown below

Multiples of 8

Multiples of 28

8

28

16

56

24

74

32

112

40

140

48

168

56

196

64

224

LCM (8, 28) = 56

Related Articles

Video Lesson on Applications of LCM

LCM of 8 and 28 Solved Examples 

Question: The LCM and GCD of two numbers are 56 and 4. If one number is 28, determine the other.

Solution:

Consider b as the other number

We know that

LCM x GCD = 28 x b

b = (LCM X GCD)/28

b = (56 x 4)/ 28

b = 8

Hence, the other number is 8.

Frequently Asked Questions on LCM of 8 and 28

Find the LCM of 8 and 28.

The LCM of 8 and 28 is 56.

The smallest multiple exactly divisible by 8 and 28 should be found.

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, …

Multiples of 28 = 28, 56, 84, 112, 140, ….

The smallest common multiple exactly divisible by 8 and 28 is 56.

List the methods used to find the LCM of 8 and 28.

The methods used to find the LCM of 8 and 28 are the Prime Factorization Method, Division Method and Listing multiples.

What is the GCF if the LCM of 8 and 28 is 56?

LCM x GCF = 8 x 28

Given

LCM of 8 and 28 = 56

56 x GCF = 224

GCF = 224/56 = 4

What is the LCM of 8 and 28?

The LCM of 8 and 28 is 56.

Find the LCM of 8 and 28 in 42, 32, 56, 100.

The LCM of 8 and 28 is the smallest common multiple which is divisible evenly by the given numbers. 56 satisfies this condition.

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