Last updated on May 26th, 2025
LCM of any two numbers is the least common multiple of two numbers. In our daily life, LCM is used for scheduling events, as distributing any items among others. In this topic, we will learn more about LCM of 2, 5, and 6.
What is the LCM of 2, 5, and 6
Out of many methods, prime factorization method is widely used for its easy approach. Here, we will learn about other methods as well. A few commonly used methods are as follows -
Listing multiples can be a tedious method for finding the LCM. Here, the listing of multiples for all these 3 numbers is noted -
Then we can see that out of 2, 5, and 6, 30 is the smallest common number that is present in them. So we see that 30 is the LCM of 2, 5, and 6.
The product of the highest power of prime factors of 2, 5, and 6 is the LCM of these numbers. So let us look at it step by step to understand it better.
Breaking the given numbers into their prime factors.
Multiplying the highest power of prime factors: 21 × 31 × 51 → 2 × 3 × 5 = 30
LCM of 2, 5, and 6 is 30.
The product of the highest power of prime factors of 2, 5, and 6 is the LCM of these numbers. So let us look at it step by step to understand it better.
Breaking the given numbers into their prime factors.
Prime factorization of 2 = 2
Prime factorization of 5 = 5
Prime factorization of 6 = 2 × 3
Multiplying the highest power of prime factors: 21 × 31 × 51 → 2 × 3 × 5 = 30
LCM of 2, 5, and 6 is 30.
In this method, we will be dividing the given numbers with the common prime factors until all numbers are reduced to 1. Let us look at this step by step and make it easy for the children to learn it.
The divisors are 2, 3, 5. LCM of 2, 5, and 6 is the product of divisors.
Hence, the LCM of (2, 5, and 6) = 2 × 3 × 5 = 30
There are some common mistakes that are made by children while solving a problem on LCM. Let us look at some of these mistakes and how we can help children to avoid these mistakes.
A bus arrives every 2 minutes and another bus arrives every 6 minutes, if both buses arrive at 7: 00 AM. when will they arrive together again?
First find the LCM of 2 and 5 :
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 5: 5, 10, 15, 20, 25, 30
Here, the smallest common multiple of 2 and 6 is 6.
The buses will arrive together again after 6 minutes, if the buses arrive at 7:00 AM. then they will arrive together at 7: 06 AM.
A teacher wants to schedule two classes. One repeats every 2 days, and the other repeats every 5 days, if both classes meet on the same day, when will they meet on the same day again?
Find the LCM of 2 and 5
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 5: 5, 10, 15, 20, 25, 30
The smallest common multiple of 2 and 5 is 10.
To find the LCM, write the multiples and select the smallest common multiple. 10 is the LCM of 2 and 5. So the 10 means, the class will meet together again after 10 days.
A school bus comes every 2 minutes, and a community bus comes every 5 minutes, if both buses arrive at the station at 8:00 AM. When will they arrive together again?
Here, to calculate the LCM of 2 and 5
Write the multiple of 2 and 5 :
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 5: 5, 10, 15, 20, 25, 30
The smallest common multiple of 2 and 5 is 10. 10 means 10 minutes.
So both buses arrive together again at 8:10 AM.
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.
: She loves to read number jokes and games.