# Hcf and lcm relationship

### GCD(M, N) x LCM(M, N) = M x N

I decided to write my comment as an answer. Rather than start with naming H C F (p, q), H C F (q, r) and H C F (r, p), start with H C F (p, q, r). So let's call. LCM stands for Lowest Common Multiple, and HCF stands for Highest Common Factor. The key to telling the difference between these two things is know. Go through the lesson and learn about relation between LCM and HCF. Find how to calculate LCM and HCF of fractions, relation of LCM and HCF with two.

A common multiple of two or more nonzero whole numbers is a whole number that a multiple of all of them.

**HCF and LCM Relationship**

The lowest common multiple or LCM of two or more whole numbers is the smallest of their common multiples, apart from zero. Hence write out the first few common multiples of 12 and 16, and state their lowest common multiple.

Hence write down the LCM of 12, 16 and 24? Solution a The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96,,… The multiples of 16 are 16, 32, 48, 64, 80, 96,,… Hence the common multiples of 12 and 16 are 48, 96, ,… and their LCM is Two or more nonzero numbers always have a common multiple — just multiply the numbers together.

But the product of the numbers is not necessarily their lowest common multiple.

What is the general situation illustrated here? Solution The LCM of 9 and 10 is their product The common multiples are the multiples of the LCM You will have noticed that the list of common multiples of 4 and 6 is actually a list of multiples of their LCM Similarly, the list of common multiples of 12 and 16 is a list of the multiples of their LCM This is a general result, which in Year 7 is best demonstrated by examples.

In an exercise at the end of the module, Primes and Prime Factorisationhowever, we have indicated how to prove the result using prime factorisation. This can be restated in terms of the multiples of the previous section: On the other hand, zero is the only multiple of zero, so zero is a factor of no numbers except zero. It is tried to elaborate the functional concepts working behind the calculation of H.

F highest common factor and L. M least common multiple of two or more Figure1 [4]: To understand Sets of numbers by a rough numbers [14]. The methods available for the integral part and d1, d2, d3,…… being the digits calculation of H. M generally hides the rules 0,1,2,……,9.

If the decimal is terminating or non- of completeness property of real numbers for learners. M are looking different. So, in non-terminating and non-recurringit represents a real the present paper it is tried to explain the concept behind irrational or simply an irrational numbers.

### Relation between HCF and LCM and Calculation of HCF and LCM for Fractions and Decimals

The set R of H. Generallyin basic mathematics ,H. M of positive integers A. For an important for number theory and remainder based example a collection, class and aggregate are used problems.

Set of natural numbers N, set of integers Z synonymously for the term Set. Now let us describe the two important F.

Highest Common Factor H. A positive number a is said to be g. There are two methods of finding the H.

### What is the relation between L.C.M. and H.C.F. of two natural numbers? | Yahoo Answers

A set of numbers: A set 1 Factorization Method can be expressed as: The product of least powers of Examples of set: For example [2], to find the H. Definition of upper bound and lower bound Let S be a subset of set of real numbers R. Suppose we have to find the H. Now, which implies that x l.

Repeat the process Let S be a subset of set of real numbers R. S is said to of dividing the preceding number by the remainder last be bounded above if S has an upper bound. S is said to obtained till zero is obtained as remainder.

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The last be bounded below if S has a lower bound. In other wordsa set S which is subset of R is said to be Finding the H. Least Common Multiple L.