LCM of 24 and 48

LCM of 24 and 48 is 48. In Maths, LCM stands for least common multiple. The smallest common multiple of two or more numbers is represented as LCM. The article LCM with Examples is the best study material a student can get hold of. By referring to this article, students will undoubtedly build a deeper understanding of the LCM concept. Let us learn how to find the least common multiple of 24 and 48 with solved examples and FAQs in a descriptive manner.

What is LCM of 24 and 48?

The Least Common Multiple of 24 and 48 is 48.

lcm of 24 and 48

How to Find LCM of 24 and 48?

The below methods can be used to determine the LCM of 24 and 48:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 24 and 48 Using Prime Factorisation Method

In this method, the numbers can be expressed as the product of prime numbers. The numbers 24 and 48 can be expressed as shown below

24 = 2 × 2 × 2 × 3

48 = 2 × 2 × 2 × 2 × 3

LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48

LCM of 24 and 48 Using Division Method

In division method, we divide the numbers 24 and 48 by their prime factors until we get the result as one in the complete row to determine their LCM. The product of these divisors shows the least common multiple of 24 and 48.

2 24 48
2 12 24
2 6 12
2 3 6
3 3 3
x 1 1

No more further division can be done.

Hence, LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48

LCM of 24 and 48 Using Listing the Multiples

In listing the multiples method, we list out the multiples of 24 and 48 to find their LCM. The below tables illustrate the multiples of 24 and 48.

Multiples of 24 Multiples of 48
24 48
48 96
72 144
96 192
120 240
144 288

LCM (24, 48) = 48

Related Articles

Least Common Multiple (LCM)

HCF and LCM

Prime Factorization and Division Method for LCM and HCF

LCM Calculator

LCM Formula

LCM of Two Numbers

Video Lesson on Applications of LCM

Solved Examples 

Q. 1: What is the smallest number that is divisible by both 24 and 48?

Solution: 48 is the smallest number that is divisible by both 24 and 48.

Q. 2: What is the HCF of 24 and 48?

Solution: The HCF of 24 and 48 is 24. 

 

Frequently Asked Questions on LCM of 24 and 48

Q1

What is the LCM of 24 and 48?

The LCM of 24 and 48 is 48.
Q2

How do you find the LCM of 24 and 48 using the prime factorisation method?

In this method, we can express 24 and 48 as the product of prime numbers as shown below:

24 = 2 × 2 × 2 × 3

48 = 2 × 2 × 2 × 2 × 3

LCM (24, 48) = 2 × 2 × 2 × 2 × 3 = 48

Therefore, the least common multiple of 24 and 48 by prime factorisation is 48.

Q3

Is the LCM of 24 and 48 the same as the HCF of 24 and 48?

No. The LCM of 24 and 48 is 48 and the HCF of 24 and 48 is 24.
Q4

What are the methods used to find the LCM of 24 and 48?

The methods used to find the LCM of 24 and 48 are as follows:

Prime Factorisation

Division Method

Listing the Multiples

Q5

What is the GCF if the LCM of 24 and 48 is 48?

GCF × LCM = 24 × 48

Given

LCM = 48

GCF × 48 = 24 × 48

GCF = 24

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*