This problem can be solved using Least Common Multiple because we are trying to find out the time they will exercise, time that it will occur at the same time (Common). After how many days do they exercise together again? Real Life Example: Ram exercises every 8 days and Deepika every 4 days. To analyse when something will happen again at the same time. To purchase or get multiple items in order to have enough. method in the following fields :Ībout an event that is or will be repeating over and over. Priyanka should cut each piece to be 45 inches wide. because we are cutting or “dividing” the strips of cloth into smaller pieces (Factor) of 45 and 90 (Common) and we are looking for the widest possible strips (Highest) She wants to cut both the strips of equal width. One piece is 45 inches wide and the other piece is 90 inches wide. Real Life Example: Priyanka has two pieces of cloth. To arrange something into rows or groups. To figure out how many people we can invite. To equally distribute any number of sets of items into their largest grouping. What are the Applications of LCM and HCF? = HCF of numerators =HCF of fractions / LCM of denominators = LCM of fractions= LCM of numerators/ (GCD/HCF of denominators) LCM of Co-prime Numbers = Product of The co-prime Numbers.

Therefore we get that the LCM of given co-prime numbers is equal to the product of the numbers. Relation 2: As HCF of co-prime numbers is 1. Relation 1: The product of LCM and HCF of any two given numbers is equivalent to the product of the given numbers. Some of LCM and HCF relations are as follows: LCM and HCF have an interesting correlation between them. Let us understand the applications of LCM and HCF, also we will understand the relationship between these two, which will make the concept more clear. HCF and LCM have many applications in our daily life. For example, HCF of 8,and 40 is 8.īoth HCF and LCM of given numbers can be found by using two methods, they are division methods and prime factorization. Also known as GCD (Greatest Common Divisor).

The greatest factor which is common to any two or more given natural numbers is termed as HCF of given numbers.

The smallest number (other than zero) that is the common multiple of any two or more given natural numbers are termed as LCM.

Problems on hcf and lcm pdf