LCM of 5, 7 and 9 is 315. LCM represents the smallest positive number which is a multiple of two or more numbers. The article Least Common Multiple (LCM) contains a detailed explanation in simple language for a better conceptual grip among students. By using this article designed by expert faculty who have vast experience, students can clear their doubts instantly. Let us learn how to verify the least common multiple of 5, 7 and 9 using prime factorisation, division method and list of multiples in a precise manner here.
What is LCM of 5, 7 and 9?
The answer to this question is 315.
How to Find LCM of 5, 7 and 9?
LCM of 5, 7 and 9 can be obtained by using the following methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 5, 7 and 9 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. Hence the numbers 5, 7 and 9 can be expressed as;
5 = 5
7 = 7
9 = 3 × 3
LCM (5, 7, 9) = 3 × 3 × 5 × 7 = 315
LCM of 5, 7 and 9 Using Division Method
In this method, we divide the numbers 5, 7 and 9 by a common prime number until the remainder is a prime number or one. The product of these divisors depicts the least common multiple of 5, 7 and 9.
| 3 | 5 | 7 | 9 |
| 3 | 5 | 7 | 3 |
| 5 | 5 | 7 | 1 |
| 7 | 1 | 7 | 1 |
| x | 1 | 1 | 1 |
No further division can be done.
Hence, LCM (5, 7, 9) = 3 × 3 × 5 × 7 = 315
LCM of 5, 7 and 9 Using Listing the Multiples
Here, we list down the multiples of given natural numbers to calculate the lowest common multiple among them. Few multiples of 5, 7 and 9 are given below.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ………, 305, 310, 315, ……..
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ………, 301, 308, 315, …….
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ………, 297, 306, 315, ……..
LCM (5, 7, 9) = 315
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Example
Question: What is the smallest number that is divisible by 5, 7, 9 exactly?
Solution: The smallest number that is divisible by 5, 7, 9 exactly is their LCM. We know that the LCM of 5, 7 and 9 is 315. Hence the smallest number that is divisible by 5, 7, 9 exactly is 315.
Frequently Asked Questions on LCM of 5, 7 and 9
What is the LCM of 5, 7 and 9?
Is the LCM of 5, 7 and 9 the same as the HCF of 5, 7 and 9?
415 is the LCM of 5, 7 and 9. True or False.
Name the methods used to find the LCM of 5, 7 and 9.
We can find the LCM of 5, 7 and 9 by using the following methods
Prime Factorisation
Division Method
Listing the Multiples
How to find the LCM of 5, 7 and 9 using the prime factorisation method?
In this method, we express the numbers as the product of prime factors to find the LCM
5 = 5
7 = 7
9 = 3 × 3
LCM (5, 7, 9) = 3 × 3 × 5 × 7 = 315
Comments