LCM of 10 and 100 is 100. LCM represents the smallest positive number which is a multiple of two or more numbers. LCM with Examples is the best reference guide for the students to learn the LCM concept thoroughly. Experts crafted this article in simple and understandable language to enhance better conceptual grip among the students. Let us learn the simple way of representing the least common multiple of 10 and 100 with examples and FAQs in this article.
What is LCM of 10 and 100?
The Least Common Multiple of 10 and 100 is 100.
How to Find LCM of 10 and 100?
The LCM of 10 and 100 can be obtained by using the following methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 10 and 100 Using Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Hence the numbers 10 and 100 can be expressed as;
10 = 2 × 5
100 = 2 × 2 × 5 × 5
LCM (10, 100) = 2 × 2 × 5 × 5 = 100
LCM of 10 and 100 Using Division Method
In the division method, to find the LCM, we divide the numbers 10 and 100 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 10 and 100.
| 2 | 10 | 100 |
| 2 | 5 | 50 |
| 5 | 5 | 25 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (10, 100) = 2 × 2 × 5 × 5 = 100
LCM of 10 and 100 Using Listing the Multiples
In this method, we list down the multiples of given natural numbers to calculate the LCM. The below table shows the multiples of 10 and 100.
| Multiples of 10 | Multiples of 100 |
| 10 | 100 |
| 20 | 200 |
| 30 | 300 |
| 40 | 400 |
| 50 | 500 |
| 60 | 600 |
| 70 | 700 |
| 80 | 800 |
| 90 | 900 |
| 100 | 1000 |
LCM (10, 100) = 100
Related Articles
Prime Factorisation 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 10 and 100?
Solution: 100 is the smallest number that is divisible by both 10 and 100.
2. What is the lowest common factor of 10 and 100?
Solution: 100 is the lowest common factor of 10 and 100.
Frequently Asked Questions on LCM of 10 and 100
What is the LCM of 10 and 100?
Is the LCM of 10 and 100 the same as the HCF of 10 and 100?
List out the first five multiples of 10 and 100.
The first five multiples of 10 and 100 are as follows
Multiples of 10 = 10, 20, 30, 40, and 50
Multiples of 100 = 100, 200, 300, 400, and 500
Determine the GCF if the LCM of 10 and 100 is 100.
GCF × LCM = 10 × 100
Given
LCM = 100
GCF × 100 = 10 × 100
GCF = 10
List the methods used to find the LCM of 10 and 100.
The methods used to find the LCM of 10 and 100 are
Prime Factorisation
Division Method
Listing the Multiples
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