LCM of 186 and 403 is 2418. In Maths, the full form of LCM is the least common multiple. It is a method to find the smallest common multiple between any two or more numbers. Students who aim to obtain an in-depth knowledge of the LCM concept are advised to follow the article Least Common Multiple (LCM) on a daily basis. This also helps them to solve the problems based on the LCM with speed and accuracy. Let us learn how to determine the least common multiple of 186 and 403 here.
What is LCM of 186 and 403?
The answer to this question is 2418.
How to Find LCM of 186 and 403?
The LCM of 186 and 403 can be determined by using the methods given below:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 186 and 403 Using Prime Factorisation Method
The prime factorisation method is one of the most common ways of calculating LCM. To find the LCM of 186 and 403, we use the steps as follows:
186 = 2 × 3 × 31
403 = 13 × 31
LCM (186, 403) = 2 × 3 × 13 × 31 = 2418
LCM of 186 and 403 Using Division Method
In the division method, to calculate the least common multiple of 186 and 403, we divide the numbers 186 and 403 by their prime factors until we get the result as one in the complete row. The product of these divisors depicts the least common multiple of 186 and 403.
| 2 | 186 | 403 |
| 3 | 93 | 403 |
| 13 | 31 | 403 |
| 31 | 31 | 31 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (186, 403) = 2 × 3 × 13 × 31 = 2418
LCM of 186 and 403 Using Listing the Multiples
In this method, we list out the multiples of given numbers to find the least common multiple. The multiples of 186 and 403 are as follows;
Multiples of 186: 186, 372, 558, 744, 930, 1116, 1302, 1488, 1674, 1860, 2046, 2232, 2418, …
Multiples of 403: 403, 806, 1209, 1612, 2015, 2418, 2821, 3224, 3627, 4030,…………
LCM (186, 403) = 2418
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 186 and 403?
Solution: 2418 is the smallest number that is divisible by both 186 and 403.
2. What is the lowest common factor of 186 and 403?
Solution: The lowest common factor of 186 and 403 is 2418.
Frequently Asked Questions on LCM of 186 and 403
What is the LCM of 186 and 403?
Is the LCM of 186 and 403 the same as the HCF of 186 and 403?
2218 is the LCM of 186 and 403. True or False.
Write the methods used to find the LCM of 186 and 403.
The methods used to find the LCM of 186 and 403 are
Prime Factorisation
Division Method
Listing the Multiples
Find the GCF if the LCM of 186 and 403 is 2418.
GCF × LCM = 186 × 403
Given
LCM = 2418
GCF × 2418 = 186 × 403
GCF = 31
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