LCM of 20 and 100 is 100. The least common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. Experts developed the article LCM of Two Numbers to provide students with the most accurate information essential to ace the exams effortlessly. Referring to this article on a regular basis helps students to clear their doubts instantly, which arise while solving the problems of the textbook. In this article, we will learn how to determine the least common multiple of 20 and 100 in a comprehensive manner.
What is LCM of 20 and 100?
The Least Common Multiple of 20 and 100 is 100.
How to Find LCM of 20 and 100?
We can obtain the LCM of 20 and 100 by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 20 and 100 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 20 and 100 can be expressed as;
20 = 2 × 2 × 5
100 = 2 × 2 × 5 × 5
LCM (20, 100) = 2 × 2 × 5 × 5 = 100
LCM of 20 and 100 Using Division Method
In the division method, we divide the numbers 20 and 100 by their prime factors until we get the result as one in the complete row. The product of these divisors denotes the least common multiple of 20 and 100.
| 2 | 20 | 100 |
| 2 | 10 | 50 |
| 5 | 5 | 25 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Therefore, LCM (20, 100) = 2 × 2 × 5 × 5 = 100
LCM of 20 and 100 Using Listing the Multiples
Here, we list down the multiples of given natural numbers to calculate the lowest common multiple among them. The below table shows the multiples of 20 and 100.
| Multiples of 20 | Multiples of 100 |
| 20 | 100 |
| 40 | 200 |
| 60 | 300 |
| 80 | 400 |
| 100 | 500 |
| 120 | 600 |
LCM (20, 100) = 100
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 20 and 100?
Solution: 100 is the smallest number that is divisible by both 20 and 100.
2. The GCD and LCM of the two numbers are 20 and 100. If one number is 20, what is the other number?
Solution: Let the other number be z
We know that,
GCD × LCM = 20 × z
z = (GCD × LCM) / 20
z = (20 × 100) / 20
z = 100
Hence the other number is 100.
Frequently Asked Questions on LCM of 20 and 100
What is the LCM of 20 and 100?
What are the methods used to find the LCM of 20 and 100?
The following methods are used to find the LCM of 20 and 100:
Prime Factorisation
Division Method
Listing the Multiples
200 is the LCM of 20 and 100. True or False.
Determine the GCF, if the LCM of 20 and 100 is 100.
GCF × LCM = 20 × 100
Given
LCM = 100
GCF × 100 = 20 × 100
GCF = 20
Using prime factorisation, find the LCM of 20 and 100.
In prime factorisation, we write the numbers as the product of prime factors to find the LCM
20 = 2 × 2 × 5
100 = 2 × 2 × 5 × 5
LCM (20, 100) = 2 × 2 × 5 × 5 = 100
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