LCM of 24 and 42

LCM of 24 and 42 is 168. The common multiple evenly divisible by 24 and 42 provides the LCM value. The least common multiple of 24 and 42 can be determined with the help of the common multiples we get using the multiplication process. (24, 48, 72, 96, 120, 144, ….) and (42, 84, 126, 168, 210,….) are the first few multiples of 24 and 42. We can use methods such as division, prime factorisation and listing of multiples to determine the LCM

Also read: Least common multiple

What is LCM of 24 and 42?

The answer to this question is 168. The LCM of 24 and 42 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 24 and 42, is the smallest positive integer 168 which is divisible by both 24 and 42 with no remainder.

lcm of 24 and 42

How to Find LCM of 24 and 42?

LCM of 24 and 42 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 24 and 42 Using Prime Factorisation Method

The prime factorisation of 24 and 42, respectively, is given by:

24 = 2 x 2 x 2 x 3 = 2³ x 3¹

42 = 2 x 3 x 7 = 2¹ x 3¹ x 7¹

LCM (24, 42) = 168

LCM of 24 and 42 Using Division Method

We’ll divide the numbers (24, 42) by their prime factors to get the LCM of 24 and 42 using the division method (preferably common). The LCM of 24 and 42 is calculated by multiplying these divisors.

2

24

42

2

12

21

2

6

21

3

3

21

7

1

7

x

1

1

No further division can be done. 

Hence, LCM (24, 42) = 168

LCM of 24 and 42 Using Listing the Multiples

To calculate the LCM of 24 and 42 by listing out the common multiples, list the multiples as shown below

Multiples of 24

Multiples of 42

24

42

48

84

72

126

96

168

120

210

144

252

168

294

192

336

LCM (24, 42) = 168

Related Articles

Video Lesson on Applications of LCM

LCM of 24 and 42 Solved Examples 

Question: The LCM and GCD of two numbers are 168 and 6 respectively. Find the other number if one number is 42.

Solution:

Consider m as the other number

GCD x LCM = 42 x m

m = (GCD x LCM)/42

m = (6 x 168)/42

m = 24

Hence, the other number is 24.

Frequently Asked Questions on LCM of 24 and 42

Q1

Find the LCM of 24 and 42.

The LCM of 24 and 42 is 168. To find the LCM, we should consider the multiples of 24 and 42 and the smallest multiple exactly divisible by 24 and 42 has to be found.
Q2

What methods can we use to determine the LCM of 24 and 42?

The methods we can use to determine the LCM of 24 and 42 are Prime Factorization Method, Division Method and Listing multiples.
Q3

Find the GCF if the LCM of 24 and 42 is 168.

LCM x GCF = 24 x 42

Given

LCM of 24 and 42 = 168

168 x GCF = 1008

GCF = 1008/168 = 6

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