LCM of 18 and 35 is 630. LCM denotes the smallest positive number which is a multiple of two or more numbers. Learn the LCM concept effectively by going through the article LCM with Examples. Students must focus on learning the LCM concept during the learning process as it is continued in higher classes. The experts offer clear knowledge of the LCM concept in order to speed up the exam preparation. Let us learn how to find the least common multiple of 18 and 35 in a detailed manner here.
What is LCM of 18 and 35?
The answer to this question is 630.
How to Find LCM of 18 and 35?
LCM of 18 and 35 can be obtained by using the following methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 18 and 35 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. Hence the numbers 18 and 35 can be expressed as;
18 = 2 × 3 × 3
35 = 5 × 7
LCM (18, 35) = 2 × 3 × 3 × 5 × 7 = 630
LCM of 18 and 35 Using Division Method
In this method, we divide the numbers 18 and 35 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 18 and 35.
| 2 | 18 | 35 |
| 3 | 9 | 35 |
| 3 | 3 | 35 |
| 5 | 1 | 35 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (18, 35) = 2 × 3 × 3 × 5 × 7 = 630
LCM of 18 and 35 Using Listing the Multiples
In this method, we list down the multiples of given natural numbers to find the lowest common multiple among them. The multiples of 18 and 35 are as follow:
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, ………, 594, 612, 630, ……
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, ………., 560, 595, 630, ……..
LCM (18, 35) = 630
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 18 and 35?
Solution: 630 is the smallest number that is divisible by both 18 and 35.
2. The GCD and LCM of two numbers are 1 and 630. If one number is 18, what is the other number?
Solution: Let the other number be p
We know that,
GCD × LCM = 18 × p
p = (GCD × LCM) / 18
p = (1 × 630) / 18
p = 35
Hence the other number is 35.
Frequently Asked Questions on LCM of 18 and 35
What is the LCM of 18 and 35?
Is the LCM of 18 and 35 the same as the HCF of 18 and 35?
Is 600 the LCM of 18 and 35?
Mention the methods used to find the LCM of 18 and 35.
The methods used to find the LCM of 18 and 35 are
Prime Factorisation
Division Method
Listing the Multiples
Write the relation between GCF and LCM of 18 and 35.
The below equation can be used to denote the relation between GCF and LCM of 18 and 35
GCF × LCM = 18 × 35
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