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.
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
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Video Lesson on Applications of LCM
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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
Find the LCM of 24 and 42.
What methods can we use to determine the LCM of 24 and 42?
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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