LCM of 2 3 and 4

LCM of 2, 3 and 4 is 12. LCM can be defined as the least number which is exactly divisible by two or more numbers. Students who are facing obstacles in finding the least common multiple of given numbers can refer to the article Least Common Multiple (LCM) and get their doubts cleared. This article is well structured by experts in a simple and understandable language so that students understand the LCM concept in a better way. Let us learn how to find the least common multiple of 2, 3 and 4 with examples and FAQs in this article.

What is LCM of 2, 3 and 4?

The Least Common Multiple of 2, 3 and 4 is 12.

How to Find LCM of 2, 3 and 4?

LCM of 2, 3 and 4 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the Multiples

LCM of 2, 3 and 4 Using Prime Factorisation Method

In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Therefore 2, 3 and 4 can be expressed as;

2 = 2

3 = 3

4 = 2 × 2

LCM (2, 3, 4) = 2 × 2 × 3 = 12

LCM of 2, 3 and 4 Using Division Method

In this method, to calculate the LCM, we divide the numbers 2, 3 and 4 by their prime factors until we get the result as one in the complete row. The product of these divisors shows the least common multiple of 2, 3 and 4.

No more further division can be done.

Hence, LCM (2, 3, 4) = 2 × 2 × 3 = 12

LCM of 2, 3 and 4 Using Listing the Multiples

Here, we list down the multiples of given natural numbers to verify the LCM. The following table shows the multiples of 2, 3 and 4.

LCM (2, 3, 4) = 12

Related Articles

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LCM of Two Numbers

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Prime Factorisation and Division Method for LCM and HCF

Video Lesson on Applications of LCM

Solved Examples 

Q. 1: What is the smallest number that is divisible by 2, 3, 4 exactly?

Solution: 12 is the smallest number that is divisible by 2, 3, 4 exactly.

Q. 2: What is the LCM of 2, 3 and 4?

Solution: The LCM of 2, 3 and 4 is 12.