Relation between hcf and lcm of three numbers

HCF and LCM are the two terms that stand for highest common factor and least common multiple respectively. The HCF is the greatest factor of two numbers or more than two numbers which divides the number exactly with no remainder, while on the contrary the LCM of two numbers or more than two numbers is the smallest number which is divisible by given numbers exactly. The multiplication of common prime factors of given numbers with the least exponential powers is the HCF of two numbers or more numbers.

The words HCF and LCM, which stand for highest common factor and least common multiple, respectively, are used in this context. On the other hand, the HCF of any two or more numbers is the biggest factor that divides the number perfectly with no residue, whilst on the other hand, the LCM of any two or more two numbers is the smallest number that is divisible by the numbers in the specified order. When a set of numbers is divided into two groups of numbers, the Least Common Multiple LCM is defined as the lowest number that is a multiple of all of the numbers in each group. Consider the following example: the LCM of 12 and 15 equals To get the LCM of a set of numbers, first list the multiples of each number that you want to find. As a result, the multiples of 12 are equal to 12, 24, 36, 48, 60, 72, 84, and so on. The multiples of 15 are as follows: 15, 30, 45, 60, 75, 90, , and so on.

Relation between hcf and lcm of three numbers

HCF is the highest factor of two or more than two numbers which will divide the number completely and leave no remainder. LCM of two or more than two numbers refers to the lowest number that will divide the given number and leave no remainder. In rough terms, this is what the two terms indicate. Firstly, the given number is resolved into its prime factors. Then, Common prime factors of given numbers are multiplied. And the product obtained is HCF of given numbers. For example: Find HCF of 9 and Then, L. For example: Find LCM of 12 and Since LCM is given by the product of the maximum exponent of each factor which has appeared in the prime factorisation of each of the given numbers.

The words HCF and LCM, which stand for highest common factor and least common multiple, respectively, are used in this context. The biggest factor existent between any two or more numbers is defined by the H.

HCF is defined as the highest common factor which divides the required two numbers with no remainders and LCM is defined as the smallest number which is divisible between the given two numbers. Example 2. Hope this article was informative and helpful for your studies and exam preparations. Stay tuned to the Testbook app for more updates and topics related to Mathematics and various such subjects. Also, reach out to the test series available to examine your knowledge regarding related exams. Last updated on May 4, Download as PDF.

The H. To find H. We have learned both methods in our earlier classes. The shortcut method to find both H. Also, we will solve some problems based on these two concepts to understand in a better way. The article here is very helpful for primary and secondary classes students such as Class 4, Class 5, Class 6, Class 7, and Class 8.

Relation between hcf and lcm of three numbers

Here, students will find HCF and LCM questions with in-depth explanations that will aid in their understanding of the concept. Different questions are also provided so that students can practise them, and they can compare their answers with the provided solutions on our page. The Highest Common Factor HCF of 2 or more numbers is defined as the greatest possible number that divides both the numbers completely. The two most commonly used methods to find the HCF of the given numbers are:. The Least Common Multiple LCM of 2 or more given numbers is defined as the smallest common multiple, which is found in both the numbers.

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Commercial Maths. Our Team. Due to the fact that the HCF of co-prime numbers is equal to 1, the LCM of two co-prime numbers is the same as the product of the numbers in question. Learn more topics related to Mathematics. Test Series. Saudi Arabia. LCM of two or more than two numbers refers to the lowest number that will divide the given number and leave no remainder. Consider the following example: the LCM of 12 and 15 equals Access free live classes and tests on the app. JEE Marking Scheme. Firstly, the given number is resolved into its prime factors. Important Links. Table of Content.

The HCF and LCM of a given set of numbers can be calculated using different methods like the division method and the prime factorization method.

JEE Application Process. Access more than. The product of two numbers is Ans : The highest common factor of two or more numbers is the product of the multiplication of common prime factors of provided numbers with the least amount of exponential power. LCM of 24 and 26 is Recently, we proved to ourselves that the LCM of coprime numbers equals the product of the numbers. Learn more. Maths Program. The words HCF and LCM, which stand for highest common factor and least common multiple, respectively, are used in this context. Subscribe Now. And LCM of given fractions 23 , 34 and The multiplication of common prime factors of given numbers with the least exponential powers is the HCF of two numbers or more numbers. Example 2. In this article we will discuss the conversion of yards into feet and feets to yard. JEE Marking Scheme.