LCM of 24 36 and 40

LCM of 24, 36 and 40 is 360. Students who want to obtain proficiency in finding the LCM and HCF of given numbers can rely on the article HCF and LCM. This article is designed by experts with the purpose of providing the best study source for students. Solving the problems following this article helps students to clarify their doubts immediately and enhances skills that are vital to score good marks in exams. Let us grasp the simple method on how to find the least common multiple of 24, 36 and 40 in this article.

What is LCM of 24, 36 and 40?

The answer to this question is 360.

lcm of 24 36 and 40

How to Find LCM of 24, 36 and 40?

The LCM of 24, 36 and 40 can be determined by using the methods mentioned below:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 24, 36 and 40 Using Prime Factorisation Method

By prime factorisation method, we can write 24, 36 and 40 as the product of prime numbers, such that;

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

40 = 2 × 2 × 2 × 5

LCM (24, 36, 40) = 2 × 2 × 2 × 3 × 3 × 5 = 360

LCM of 24, 36 and 40 Using Division Method

In the division method, we divide the numbers 24, 36 and 40 by their prime factors until we get the result as one in the complete row to determine their LCM. The product of these divisors gives the least common multiple of 24, 36 and 40.

2 24 36 40
2 12 18 20
2 6 9 10
3 3 9 5
3 1 3 5
5 1 1 5
x 1 1 1

No more further division can be done.

Hence, LCM (24, 36, 40) = 2 × 2 × 2 × 3 × 3 × 5 = 360

LCM of 24, 36, and 40 Using Listing the Multiples

Here, we list out the multiples of 24, 36 and 40 to calculate the least common multiple of 24, 36 and 40 in a precise manner. The multiples of 24, 36 and 40 are as follows:

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, ………., 312, 336, 360, …………

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, ………

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, …………

LCM (24, 36, 40) = 360

Related Articles

Least Common Multiple (LCM)

LCM calculator

LCM of Two Numbers

Prime Factorization and Division Method for LCM and HCF

LCM Formula

LCM with Examples

Video Lesson on Applications of LCM

Solved Examples

Q. 1: What is the smallest number that is divisible by 24, 36, 40 exactly?

Solution: 360 is the smallest number that is divisible by 24, 36, 40 exactly.

Q. 2: Find the LCM of 24, 36 and 40 using the division method.

Solution: We can determine the least common multiple of 24, 36 and 40 using the division method as below. 

 

2 24 36 40
2 12 18 20
2 6 9 10
3 3 9 5
3 1 3 5
5 1 1 5
x 1 1 1

 

Thus the LCM (24, 36, 40) = 2 × 2 × 2 × 3 × 3 × 5 = 360

Frequently Asked Questions on LCM of 24, 36 and 40

Q1

Write is the LCM of 24, 36 and 40.

The LCM of 24, 36 and 40 is 360.
Q2

Is the LCM of 24, 36 and 40 the same as the HCF of 24, 36 and 40?

No. The LCM of 24, 36 and 40 is 360 and the HCF of 24, 36 and 40 is 4.
Q3

360 is the LCM of 24, 36 and 40. True or False.

True. The LCM of 24, 36 and 40 is 360.
Q4

What are the methods used to find the LCM of 24, 36 and 40?

The following methods are used to find the LCM of 24, 36 and 40

Prime Factorisation

Division Method

Listing the Multiples

Q5

Which of the following is the HCF of 24, 36 and 40? 5, 9, 4, 10

The HCF of 24, 36 and 40 is 4.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*