LCM of 18 and 56 is 504. Students will learn how the least common multiple of 18 and 56 can be obtained among the common multiples. (18, 36, 54, 72, ….) and (56, 112, 168, 224, 280, 336, 392,….) are the multiples of 18 and 56. The methods used to find the LCM of two numbers are prime factorisation, by listing the multiples and division.
Also read: Least common multiple
What is LCM of 18 and 56?
The answer to this question is 504. The LCM of 18 and 56 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 18 and 56, is the smallest positive integer 504 which is divisible by both 18 and 56 with no remainder.
How to Find LCM of 18 and 56?
LCM of 18 and 56 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 56 Using Prime Factorisation Method
The prime factorisation of 18 and 56, respectively, is given by:
18 = 2 x 3 x 3 = 2¹ x 3²
56 = 2 x 2 x 2 x 7 = 2³ x 7¹
LCM (18, 56) = 504
LCM of 18 and 56 Using Division Method
We’ll divide the numbers (18, 56) by their prime factors to get the LCM of 18 and 56 using the division method (preferably common). The LCM of 18 and 56 is calculated by multiplying these divisors.
2 |
18 |
56 |
2 |
9 |
28 |
2 |
9 |
14 |
3 |
9 |
7 |
3 |
3 |
7 |
7 |
1 |
7 |
x |
1 |
1 |
No further division can be done.
Hence, LCM (18, 56) = 504
LCM of 18 and 56 Using Listing the Multiples
To calculate the LCM of 18 and 56 by listing out the common multiples, list the multiples as shown below
Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, . . . ., 450, 468, 486, 504, . . . .
Multiples of 56 = 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, . . . ., 280, 336, 392, 448, 504, . . . .
LCM (18, 56) = 504
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
![](https://cdn1.byjus.com/wp-content/uploads/2022/04/Application-of-LCM.jpg)
LCM of 18 and 56 Solved Examples
Question: The LCM and GCD of two numbers are 504 and 2. If one number is 56, find the other.
Solution:
Given
LCM = 504
GCD = 2
Consider y as the other number
LCM x GCD = 56 x y
y = (LCM x GCD)/56
y = (504 x 2)/56
y = 18
Hence, the other number is 18.
Frequently Asked Questions on LCM of 18 and 56
In the numbers 5, 105, 504, 302, find the LCM of 18 and 56.
Find the GCF if the LCM of 18 and 56 is 504.
LCM x GCF = 18 x 56
Given
LCM of 18 and 56 = 504
504 x GCF = 1008
GCF = 1008/504 = 2
Write the relation between GCF and LCM of 18 and 56.
The relation between GCF and LCM of 18 and 56 is
LCM x GCF = 18 x 56
LCM x GCF = 504
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