LCM of 4 and 20 is 20. The number which is evenly divisible from the numbers 4 and 20 gives the LCM value. Considering the common multiples, the least common multiple of 4 and 20 can be calculated. The multiples of 4 are (4, 8, 12, 16, 20, ….) and the multiples of 20 are (20, 40, 60, 80, 100, ….) respectively. The methods which are used to determine the LCM are prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 4 and 20?
The answer to this question is 20. The LCM of 4 and 20 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 20, is the smallest positive integer 20 which is divisible by both 4 and 20 with no remainder.
How to Find LCM of 4 and 20?
LCM of 4 and 20 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 20 Using Prime Factorisation Method
The prime factorisation of 4 and 20, respectively, is given by:
4 = 2 x 2 = 2²
20 = 2 x 2 x 5 = 2² x 5¹
LCM (4, 20) = 20
LCM of 4 and 20 Using Division Method
We’ll divide the numbers (4, 20) by their prime factors to get the LCM of 4 and 20 using the division method (preferably common). The LCM of 4 and 20 is calculated by multiplying these divisors.
|
2 |
4 |
20 |
|
2 |
2 |
10 |
|
5 |
1 |
5 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (4, 20) = 20
LCM of 4 and 20 Using Listing the Multiples
To calculate the LCM of 4 and 20 by listing out the common multiples, list the multiples as shown below
|
Multiples of 4 |
Multiples of 20 |
|
4 |
20 |
|
8 |
40 |
|
12 |
60 |
|
16 |
80 |
|
20 |
100 |
|
24 |
120 |
LCM (4, 20) = 20
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Video Lesson on Applications of LCM
LCM of 4 and 20 Solved Examples
Question: The LCM and GCD of two numbers are 20 and 4 respectively. If one number is 20, what is the other number?
Solution:
Consider the number as z
We know that
GCD x LCM = 20 x z
z = (GCD x LCM)/20
Substituting the values
z = (20 x 4)/20
z = 4
Hence, the other number is 4.
Frequently Asked Questions on LCM of 4 and 20
Calculate the GCF, if the LCM of 4 and 20 is 20.
We know that
LCM x GCF = 4 x 20
As LCM (4, 20) is 20
20 x GCF = 80
GCF = 80/20 = 4
Determine the LCM of 4 and 20.
The LCM of 4 and 20 is 20. To find the LCM, the multiples of 4 and 20 has to be obtained
Multiples of 4 = 4, 8, 12, 16, 20, ….
Multiples of 20 = 20, 40, 60, 80, 100, ….
The smallest multiple exactly divisible by 4 and 20 is 20.
Write the relation between GCF and LCM of 4 and 20.
The relation between GCF and LCM of 4 and 20 is
LCM x GCF = 4 x 20
LCM x GCF = 80
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