LCM of 3 and 20 is 60. By going through the multiples of 3 and 20, the number divisible by the given two numbers will give you the value of LCM. Least common multiple of 3 and 20 is the multiple we can find by having a thorough knowledge of the multiplication operation. (3, 6, 9, 12, 15, 18, ….) and (20, 40, 60, 80, ….) are the multiples of 3 and 20. The stepwise method of finding the LCM of two numbers using the listing of multiples, prime factorization and division are available here in a comprehensive manner.
Also read: Least common multiple
What is LCM of 3 and 20?
The answer to this question is 60. The LCM of 3 and 20 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 3 and 20, is the smallest positive integer 60 which is divisible by both 3 and 20 with no remainder.
How to Find LCM of 3 and 20?
LCM of 3 and 20 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 20 Using Prime Factorisation Method
The prime factorisation of 3 and 20, respectively, is given by:
3 = 3 = 3¹
20 = 2 x 2 x 5 = 2² x 5¹
LCM (3, 20) = 60
LCM of 3 and 20 Using Division Method
We’ll divide the numbers (3, 20) by their prime factors to get the LCM of 3 and 20 using the division method (preferably common). The LCM of 3 and 20 is calculated by multiplying these divisors.
|
2 |
3 |
20 |
|
3 |
3 |
10 |
|
3 |
3 |
5 |
|
5 |
1 |
5 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (3, 20) = 60
LCM of 3 and 20 Using Listing the Multiples
To calculate the LCM of 3 and 20 by listing out the common multiples, list the multiples as shown below
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, …….., 57, 60, 63, 66, …..
Multiples of 20 = 20, 40, 60, 80, 100, …..
LCM (3, 20) = 60
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
LCM of 3 and 20 Solved Examples
Question: The product of two numbers is 60. Find the LCM if the GCD is 1.
Solution:
It is given that
GCD = 1
Product of two numbers = 60
We know that
LCM x GCD = Product of two numbers
LCM = Product of two numbers/ GCD
Substituting the values
LCM = 60/1 = 60
Hence, the LCM is 60.
Frequently Asked Questions on LCM of 3 and 20
What methods can we use to find the LCM of 3 and 20?
With the help of the prime factorisation, calculate the LCM of 3 and 20.
First we have to know the factors to find the LCM
3 = 3
20 = 2 x 2 x 5
LCM is the product of prime factors raised to the highest exponent among 3 and 20.
LCM of 3 and 20 = 60
What is the GCF if the LCM of 3 and 20 is 60?
LCM x GCF = 3 x 20
As the LCM = 60
60 x GCF = 60
GCF = 60/60 = 1
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