why do we need lcm and hcf

why do we need lcm and hcf The full form of LCM in Maths is the Least Common Multiple whereas the full form of HCF is the Highest Common Factor The H C F defines the greatest factor present in between given two or more numbers whereas L C M defines the least number which is exactly divisible by two or more numbers

Lowest Common Multiple LCM The smallest number other than zero that is the common multiple of any two or more given natural numbers are termed as LCM For example LCM of 6 8 and 12 is 24 Highest Common Factor HCF The greatest factor which is common to any two or more given natural numbers is termed as HCF of given Pages Highest common factor and lowest common multiple A common factor is a factor that is shared by two or more numbers For example a common factor of 8 and 10 is 2 as 2 is a factor of 8

why do we need lcm and hcf

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The LCM and HCF of two numbers share a relationship with each other This is expressed in the form of a formula The HCF and LCM formula of two numbers a and b is expressed as HCF a b LCM a b a b In other words the formula of HCF and LCM states that the product of any two numbers is equal to the product of their HCF and LCM The HCF and LCM are two abbreviations for the highest common factor HCF and the lowest common multiple LCM The HCF is the largest integer whole number that two or more numbers can be divided by

What is the difference between LCM and HCF The LCM Lowest Common Multiple of two or more numbers is the smallest number among all common multiples of the provided numbers In contrast the HCF Highest Common Factor is the highest number among all the common factors of the given numbers 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

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To learn the relation between H C F and L C M of two numbers or the given n numbers first we need to know about the definition of the Highest Common Factor H C F and the Least Common Multiple L C M and also LCM and HCF formulas HCF is the largest possible common factor so it will divide both LCM is the smallest possible multiple so it can be divided by both of our numbers here Let s say our numbers are 13 and 27 and we re asked to find out the LCM and HCF

LCM and HCF are important topics of Mathematical calculation that keep evolving and remain important in the syllabus for Maths students It is therefore important to build a strong foundation right from the beginning by learning the To find the LCM using prime factorization method we need to follow the below mentioned steps Find the prime factors of numbers individually From all the factors identify the maximum number of times each prime factor appears

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why do we need lcm and hcf - What is the difference between LCM and HCF The LCM Lowest Common Multiple of two or more numbers is the smallest number among all common multiples of the provided numbers In contrast the HCF Highest Common Factor is the highest number among all the common factors of the given numbers