LCM of 3 and 3 is 3. The evenly divisible number we get from the two given numbers provides the LCM value. From the common multiples, the least common multiple of 3 and 3 can be found. The multiples of 3 are (3, 6, 9, 12, 15, 18, ….) and the multiples of 3 are (3, 6, 9, 12, 15, 18, ….) respectively. The methods used to find the LCM are prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 3 and 3?
The answer to this question is 3. The LCM of 3 and 3 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 3 and 3, is the smallest positive integer 3 which is divisible by both 3 and 3 with no remainder.
How to Find LCM of 3 and 3?
LCM of 3 and 3 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 3 Using Prime Factorisation Method
The prime factorisation of 3 and 3, respectively, is given by:
3 = 3¹
3 = 3¹
LCM (3, 3) = 3
LCM of 3 and 3 Using Division Method
We’ll divide the numbers (3, 3) by their prime factors to get the LCM of 3 and 3 using the division method (preferably common). The LCM of 3 and 3 is calculated by multiplying these divisors.
|
3 |
3 |
3 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (3, 3) = 3
LCM of 3 and 3 Using Listing the Multiples
To calculate the LCM of 3 and 3 by listing out the common multiples, list the multiples as shown below
|
Multiples of 3 |
Multiples of 3 |
|
3 |
3 |
|
6 |
6 |
|
9 |
9 |
|
12 |
12 |
|
15 |
15 |
LCM (3, 3) = 3
Related Articles
Video Lesson on Applications of LCM
LCM of 3 and 3 Solved Examples
The LCM and GCD of two numbers are 3 and 3 respectively. If one number is 3, what is the other number?
Solution:
Consider the number as z
We know that
GCD x LCM = 9 x z
z = (GCD x LCM)/9
Substituting the values
z = (3 x 3)/3
z = 3
Hence, the other number is 3.
Frequently Asked Questions on LCM of 3 and 3
If the LCM of 3 and 3 is 3, calculate its GCF.
We know that
LCM x GCF = 3 x 3
As LCM (3, 3) is 3
3 x GCF = 9
GCF = 9/3 = 3
Find the LCM of 3 and 3.
The LCM of 3 and 3 is 3. To find the LCM, the multiples of 3 and 3 has to be obtained
Multiples of 3 = 3, 6, 9, 12, 15, 18, ……
Multiples of 3 = 3, 6, 9, 12, 15, 18, ……
The smallest multiple exactly divisible by 3 and 3 is 3.
Show the relation between GCF and LCM of 3 and 3.
The relation between GCF and LCM of 3 and 3 is
LCM x GCF = 3 x 3
LCM x GCF = 9
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