LCM of 5 and 35 is 35. LCM is the method to find the smallest possible multiple of two or more numbers. The article LCM of Two Numbers is the best guide to obtain a good hold on the LCM concept which is essential to score well in the examinations. Experts explain the LCM concept in a simple format so that students learn the LCM concept without any obstacles. Let us learn how to find the least common multiple of 5 and 35 in a comprehensive manner in this article.
What is LCM of 5 and 35?
The Least Common Multiple of 5 and 35 is 35.
How to Find LCM of 5 and 35?
LCM of 5 and 35 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 5 and 35 Using Prime Factorisation Method
Here, the given natural numbers are expressed as the product of prime factors. The least common multiple will be the product of all prime factors with the highest degree. Hence, the numbers 5 and 35 can be expressed as;
5 = 5
35 = 5 × 7
LCM (5, 35) = 5 × 7 = 35
LCM of 5 and 35 Using Division Method
In the division method, to calculate the least common multiple of 5 and 35, we divide the numbers 5 and 35 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 5 and 35.
| 5 | 5 | 35 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (5, 35) = 5 × 7 = 35
LCM of 5 and 35 Using Listing the Multiples
In this method, we list the multiples of given natural numbers to find the lowest common multiple among them. Check the multiples of 5 and 35 from the table mentioned below.
| Multiples of 5 | Multiples of 35 |
| 5 | 35 |
| 10 | 70 |
| 15 | 105 |
| 20 | 140 |
| 25 | 175 |
| 30 | 210 |
| 35 | 245 |
| 40 | 280 |
LCM (5, 35) = 35
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 5 and 35?
Solution: 35 is the smallest number that is divisible by both 5 and 35.
2. The GCD and LCM of the two numbers are 5 and 35. If one number is 5, what is the other number?
Solution: Let the other number be m
We know that
GCD × LCM = 5 × m
m = (GCD × LCM) / 5
m = (5 × 35)/ 5
m = 35
Hence the other number is 35.
Frequently Asked Questions on LCM of 5 and 35
What is the LCM of 5 and 35?
Mention the LCM of 5 and 35 and the HCF of 5 and 35.
45 is the LCM of 5 and 35. True or False.
Name the methods used to find the LCM of 5 and 35.
The following methods are used to find the LCM of 5 and 35
Prime Factorisation
Division Method
Listing the Multiples
Calculate the GCF if the LCM of 5 and 35 is 35.
GCF × LCM = 5 × 35
Given
LCM = 35
GCF × 35 = 5 × 35
GCF = 5
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