LCM of 5 and 100 is 100. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all common multiples of 5 and 100 is the LCM of 5 and 100. (5, 10, 15, 20, 25, 30,…) and (100, 200, 300, 400, 500, 600, 700,…) are the first few multiples of 5 and 100, respectively. To find the LCM of 5 and 100, there are three main methods: listing multiples, prime factorization, and division technique.
Also read: Least common multiple
What is LCM of 5 and 100?
The answer to this question is 100. The LCM of 5 and 100 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 100, is the smallest positive integer 100 which is divisible by both 5 and 100 with no remainder.
How to Find LCM of 5 and 100?
LCM of 5 and 100 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5 and 100 Using Prime Factorisation Method
The prime factorisation of 5 and 100, respectively, is given by:
(5) = 51 and
100 = (2 × 2 × 5 × 5) = 22 × 52
LCM (5, 100) = 100
LCM of 5 and 100 Using Division Method
We’ll divide the numbers (5, 100) by their prime factors to get the LCM of 5 and 100 using the division method (preferably common). The LCM of 5 and 100 is calculated by multiplying these divisors.
| 2 | 5 | 100 |
| 2 | 5 | 50 |
| 5 | 5 | 25 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 100) = 100
LCM of 5 and 100 Using Listing the Multiples
To calculate the LCM of 5 and 100 by listing out the common multiples, list the multiples as shown below
| Multiples of 5 | Multiples of 100 |
| 5 | 100 |
| 10 | 200 |
| 15 | 300 |
| ……. | 400 |
| 100 | 500 |
The smallest common multiple of 5 and 100 is 100.
Therefore LCM (5, 100) = 100
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LCM of 5 and 100 Solved Example
Question: The product of two numbers is 500. If their GCD is 5, what is their LCM?
Solution:
Given: GCD = 5
product of numbers = 500
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 500/5
Therefore, the LCM is 100.
The probable combination for the given case is LCM(5, 100) = 100.
Frequently Asked Questions on LCM of 5 and 100
What is the LCM of 5 and 100?
List the methods used to find the LCM of 5 and 100.
Which of the following is the LCM of 5 and 100? 18, 27, 16, 100
What is the Relation Between GCF and LCM of 5, 100?
If the LCM of 100 and 5 is 100, Find its GCF.
Since the LCM of 100 and 5 = 100
⇒ 100 × GCF(100, 5) = 500
Therefore, the GCF (greatest common factor) = 500/100 = 5.
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