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.
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
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
What is the LCM of 40 and 50?
Is the LCM of 40 and 50 the same as the HCF of 40 and 50?
Is 150 the LCM of 40 and 50?
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
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