LCM of 40 and 50

LCM of 40 and 50 is 200. LCM stands for Least Common Multiple in Maths. It is defined as the smallest common multiple of two or more numbers. The article Prime Factorisation and Division Method for HCF and LCM is prepared by experts in a simple and understandable language to help students grasp the method of finding HCF and LCM more effectively. Let us look at how to determine the least common multiple of 40 and 50 using simple steps in this article.

What is LCM of 40 and 50?

The Least Common Multiple of 40 and 50 is 200.

lcm of 40 and 50

How to Find LCM of 40 and 50?

The LCM of 40 and 50 can be determined by using the following methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 40 and 50 Using Prime Factorisation Method

In this method, we calculate the LCM of given numbers by writing the prime factors of numbers individually. Hence the numbers 40 and 50 are expressed as;

40 = 2 × 2 × 2 × 5

50 = 2 × 5 × 5

LCM (40, 50) = 2 × 2 × 2 × 5 × 5 = 200

LCM of 40 and 50 Using Division Method

To calculate the LCM in the division method, we divide the numbers 40 and 50 by their prime factors until we get the result as one in the complete row. The product of these divisors gives the least common multiple of 40 and 50.

2 40 50
2 20 25
2 10 25
5 5 25
5 1 5
x 1 1

No more further division can be done.

Hence, LCM (40, 50) = 2 × 2 × 2 × 5 × 5 = 200

LCM of 40 and 50 Using Listing the Multiples

In this method, we list out the multiples of given natural numbers to calculate the lowest common multiple among them. The below table depicts the multiples of 40 and 50.

Multiples of 40 Multiples of 50
40 50
80 100
120 150
160 200
200 250
240 300
280 350
320 400

LCM (40, 50) = 200

Related Articles

HCF and LCM

Least Common Multiple (LCM)

LCM Calculator

LCM with Examples

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 40 and 50?

Solution: 200 is the smallest number that is divisible by both 40 and 50.

Q. 2: What is the highest common factor of 40 and 50?

Solution: 10 is the highest common factor of 40 and 50.

Frequently Asked Questions on LCM of 40 and 50

Q1

What is the LCM of 40 and 50?

The LCM of 40 and 50 is 200.
Q2

Is the LCM of 40 and 50 the same as the HCF of 40 and 50?

No. The LCM of 40 and 50 is 200 and the HCF of 40 and 50 is 10.
Q3

Is 150 the LCM of 40 and 50?

No. The LCM of 40 and 50 is 200.
Q4

Name the methods used to find the LCM of 40 and 50.

The methods used to find the LCM of 40 and 50 are

Prime Factorisation

Division Method

Listing the Multiples

Q5

List the common factors of 40 and 50.

1, 2, 5 and 10 are the common factors of 40 and 50.

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