HCF and LCM – Simplification

In Arithmetic, the HCF and LCM definition is found, it is calculated in terms of the number that is used to find the highest as well as the least common factor one or more numbers. This method is used also in real life to split things into smaller sections, to arrange different things. It assists people or students both to arrange things in groups or different rows and distribute more items to large groups.  It also helps to figure out a number of people to split them into a smaller sector that is mainly used at the time of invitation. These formulas help to find a quick solution by using formulas and reducing the timing of people for a complex calculation. The concept of LCM is crucial to solving problems related to traffic lights and racetracks. 

HCF and LCM

The smallest number other than zero is accounted as a common multiple or any given two or multiple natural numbers are referred to as LCM.  On the other hand, the greatest factor that is common to one or two natural numbers is termed HCF.  It is also known as GCD, the Greatest Common Divisor. Both HCF and LCM of any number can be found from two methods. There are two methods included in Arithmetic to find the highest and least factor of given numbers. Both of them are interested in each other, therefore, it is concluded both concepts correspond to each other. There are two methods to find HCF and LCM. One is the Division method and the other is the Prime Factorisation Method. Both of these applications play a crucial role in our day-to-day life to split things into smaller sections. It is also used to distribute equally any number in sets of items into their largest grouping. It also assists people to figure out people in like invitations and arranging them into different rows and groups. LCM is used at the time of purchasing to get multiple items in order that is enough to split. It is also used to analyse things that will happen again and again at the same time. 

Simplifications

Simplification is the general means in Arithmetic to find and answer sums. The complex calculation that involves numbers in their rarity refers to simplification. It is a way of a process that is used by people to find HCF and LCM. These applications are mainly used to find out the number missing in a sum or it gives a basic operation to find out the answers from different methods. It reduces variety and the volume of numbers. This increase and decrease method provide quick delivery of answers from the sum. The inventory control is also reduced by simplification that gives better inventory results. The production also reduces the cost of volume. Simplification is a tool to increase operational efficiency to make the operations easy to do.  The operation to simplify a complex operation is done through this method. It is a very useful method that is used in Arithmetic.  

Division Method

The division method is the first principle method to find HCF and LCM in this method, given numbers are divided by the least common factor and continue till the Remainder will be zero. In order to find LCM by division method, it is necessary to divide the given numbers by common prime numbers till the one will be remainder. LCM is obtained by multiplying all divisors and ramming prime numbers. The given numbers have to be separated in a row by commas and dividing the numbers with a common prime number is the formula to find LCM by division method.

In order to find HCF by the division method, it is crucial to divide the large number by the smallest one among the given numbers until the value of remainder becomes zero. The previous divisor will be the HCF of given numbers. The formula to find HCF by division method is Dividend= Divisor* Quotient + Remainder. The division method included divide operation in its to find HCF. It is crucial for students or people to learn these things because these are not only limited to the academic background. In day-to-day life practices, this application will provide a way to break things into a smaller sections. 

Prime Factorisation Method

In this method, it is important to write given natural numbers as the product of prime factors. The lowest common multiple will be outcomes as the products of all prime factors with the highest degrees. It is the formula to find LCM by the prime factorisation method. On the other hand, the HCF has been found by given natural numbers used as products of prime factor. This method is used to find the highest common factor and multiply all the common prime factors with the lowest degree. 

Conclusion 

It is concluded from above that HCF and LCM applications are found in Arithmetic. These applications are crucial for people because they are used on both academic and practical grounds. These applications can be found from two methods. These two methods are the Division method and the Prime Factorisation Method. These two are convenient ways to find out the highest and lowest factor of given numbers. It mainly assists people to split things into smaller sections. It is also used by people to equally distribute things among a large group. In the absence, people are not able to divide anything in equal manners.