165 LearnersLast updated on May 26th, 2025
LCM of 3 and 3
Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 3 and 3. By learning the following tricks, you can learn the LCM of 3 and 3 easily.
What Is the LCM of 3 and 3?
The LCM of 3 and 3 is 3. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more numbers in different ways.
How to find the LCM of 3 and 3?
We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:
Method 1: Listing of Multiples
Method 2: Prime Factorization
Method 3: Division Method
Now let us delve further into these three methods and how it benefits us.
LCM of 3 and 3 Using Listing of Multiples Method
In this method, we will list all the multiples of 3 and 3. Then we will try to find a multiple that is present in both numbers.
For example,
Multiples of 3:
3, 6, 9, 12, 15,...
Multiples of 3:
3, 6, 9, 12, 15,...
The LCM of 3 and 3 is 3. 3 is the smallest number which can be divisible by both 3 and 3.
LCM of 3 and 3 Using Prime Factorization
To find the LCM of 3 and 3 using the prime factorization method, we need to find out the prime factors of both the numbers. Then multiply the highest powers of the factors to get the LCM.
Prime Factors of 3 is: 31
Multiply the highest power of both the factors: 1 × 31 = 1 × 3 = 3
Therefore, the LCM of 3 and 3 is 3.
LCM of 3 and 3 Using Division Method
To calculate the LCM using the division method. We will divide the given numbers with their prime numbers. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the remainder becomes 1. By multiplying the prime factors, one can get LCM.
For finding the LCM of 3 and 3 we will use the following method.
By multiplying the prime divisors from the table, we will get the LCM of 3 and 3.
3 × 1 = 3
The LCM of 3 and 3 is 3.
Common Mistakes and How to Avoid Them in LCM of 3 and 3.
Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes.
Mistake 1
Missing a prime factor
Children sometimes may forget to write all the prime factors for a given number. So, at the start we have to write all the prime factors for the given numbers which won’t cause any problems later on.
LCM of 3 and 3 Examples
Problem 1
A can complete his task in 3 hours, and B can complete a similar task in 6 hours. If they both start working at the same time, when will they both complete a task at the same time?
The time when both A and B complete a task simultaneously is given by the LCM of their times.
LCM(3, 6) = 6.
Explanation
Since A takes 3 hours and B takes 6 hours, the least common multiple (LCM) of their times gives us the earliest time they both complete a task at the same moment. LCM(3, 6) = 6.
Problem 2
The LCM and product of two numbers is 3 and 9. Then find the GCF of those numbers.
GCF = product of the numbers / LCM
LCM = 3, product of the numbers = 9
GCF = 9 / 3 = 3
Hence, the GCF of the two numbers is 3
Explanation
The GCF is found using the equation, LCM × GCF = product of the numbers.
Problem 3
Runner A completes a lap in 3 minutes, and Runner B completes a lap in 9 minutes. After how many minutes will both runners meet at the starting point?
calculate the LCM of their lap times:
LCM(3, 9) = 9.
So, both runners will meet at the starting point after 9 minutes.
Explanation
Since they start at the same point and run in laps, they meet again when they complete an integer number of laps together. The LCM gives the smallest time both complete a lap at the same time, here calculated as 9 minutes.
FAQs on the LCM of 3 and 3
1. Is 3 a prime number?
2.What are the multiples of 3?
3.What is the LCM of 1 and 3?
4.Is 3 a factor of 21?
5. Is 3 a factor of 1?
6.How can children in India use numbers in everyday life to understand LCM of 3 and 3?
7.What are some fun ways kids in India can practice LCM of 3 and 3 with numbers?
8.What role do numbers and LCM of 3 and 3 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve LCM of 3 and 3 skills?
Important glossaries for the LCM of 3 and 3
- Prime Number: Any number that has only 2 factors is called a prime number.For example, 5 and 7, only common factors are 1 and the number itself.
- Composite Number: Any number that has more than 2 factors is called a composite number. For example, 4,8, and 10.
- Prime Factorization: It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
