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 relation between hcf and lcm of three numbers 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.

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.

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 HCF of Co-prime numbers is equal to 1. LCM of Co-prime numbers is equal to the product of the Co-prime numbers. For example: 10 and 11 are coprime numbers. First, Find prime factors of 2, 3, 4 and 5.

The multiplication of common prime factors of given numbers with the least exponential powers is the highest common factor of two or more numbers. 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. The product of the given two numbers is 24 and 26 is also equal to

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.

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. Test Series.

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.

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Frequently asked questions. For example: 10 and 11 are coprime numbers. LCM of 12 and 20 is HCF of two numbers cannot be greater than the numbers, while LCM of two numbers is always greater than or equals to the larger number except 0 which is considered as the common multiple of every number. Want to know more about this Super Coaching? Multiplication Tables. The biggest factor existent between any two or more numbers is defined by the H. For example: 11 and 31 are two co-prime numbers. Share via. Subscribe Now. Examine the relationship between HCF and LCM, and then use the relationships to and solve the problem in a straightforward manner.

HCF and LCM are the two terms that stand for highest common factor and least common multiple respectively.

Ans : The highest common factor of two or more numbers is the product of the multiplication of comm Accordingly, 60 is the smallest number that is both 12 and 15 times larger than another number. Another method is using the prime factorization method. 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. Solved Examples 6. Download Brochure. In the case of the provided natural numbers, the LCM and HCF of the given numbers are equivalent to the product of the given numbers. JEE Eligibility Criteria United Kingdom. View Test Series. Maths Puzzles. Commercial Maths. For example, 11 and 31 are two co-prime numbers. Let us look at the example based on the above relation. Share via.