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.

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.

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. For example, The HCF of 12 and 20 is 4. For example, the LCM of 12 and 20 is LCM of 12 and 20 is Let us look at the example based on the above relation. Now let us look at factors of 8 and Since 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. Look at the given example to verify the relation.

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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.

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. The LCM of any given number can also be found using the listing multiples method and prime factorisation method. Step 2: The LCM of given numbers is found by multiplying the product of all factors.

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. For example, The HCF of 12 and 20 is 4. For example, the LCM of 12 and 20 is LCM of 12 and 20 is

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The LCM of 14 and 25 is Reserved Seats. The multiples of 15 are as follows: 15, 30, 45, 60, 75, 90, , and so on. Explore SuperCoaching. Look at the given example to verify the relation. Primary Keyword: Zero Vector. Multiplication Tables. JEE Application Process. The LCM of 6 and 8 is 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. Share via. Maths Formulas.

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F The Highest Common Factor HCF is defined as the largest number that divides evenly into all of the numbers from a group of numbers; it is also known as the greatest common factor HCF. Test Series. Solved Examples 6. Important Links. Let's verify LCM of given co-prime Numbers is equal to the product of the given numbers. HCF is the highest factor of two or more than two numbers which will divide the number completely and leave no remainder. Accordingly, 60 is the smallest number that is both 12 and 15 times larger than another number. Recently, we proved to ourselves that the LCM of coprime numbers equals the product of the numbers. Sri Lanka. United Kingdom. Practice Questions 7.