# How to Find LCM and HCF | LCM & HCF | HCF and LCM Examples

In this post you can find some information related to LCM & HCF and also solve some questions related to it, so that you can understand LCM & HCF easily.You guys are going to learn in this post, LCM & HCF, in this post, LCM and HCF have been told so easily, I hope you get the information according to you. So that you can easily do the question of LCM & HCF. It also includes some short tricks with ease and some examples related to LCM and HCF. With the help of which you can easily solve all the questions. I would like to tell you one more thing that after reading this you will solve some questions. Due to which your habit will grow and solve more questions, then you will not have much trouble. LCM and HCF are very good chapters. So let's look at LCM and HCF-

## LCM-

We call LCM the least common multiple. The LCM of any two or more numbers is a small small number in which their numbers are completely divided.

## HCF-

The hcf of any two or more numbers is the largest number in which their numbers are completely divided.

## We can extract LCM & HCF in two ways, first factor method and second part method.

 In this post you can find some information related to LCM & HCF and also solve some questions related to it, so that you can understand LCM & HCF easily.

## If we learn some ways that we can easily find questions related to LCM & HCF

• If the number is given as p / q then how to extract the number LCM.

LCM of numerator
LCM   =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
HCF of denominator
Example

• What will be the LCM of 3/4, 6/7, 8/9
LCM of numerator -  3, 6, 8  = 24
HCF of denominator- 4, 7, 9 = 1

LCM of numerator
LCM   =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
HCF of denominator

LCM   =     24/1 = 24

• If numbers are in the form of decimal fractions, convert them into ordinary fractions.Then solve according to the above trip

LCM of numerator
LCM   =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
HCF of denominator

Example
• What will be the LCM of 2.41, 3.25, 3.1
ordinary fractions = 241/100, 325/100, 31/10
then
LCM of numerator
LCM   =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
HCF of denominator

LCM of numerator   =  241, 325, 31 = 2428075
HCF of denominator= 100, 100, 10 = 10

LCM                =        2428075/10 = 242807.5

• If the question is in the form of p / q then how to find HCF.
• If numbers are given as decimal fractions, first convert them into ordinary fractions and then apply this rule even after that you will get the question solved.
HCF of numerator
HCF    =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
LCM of denominator

Find the HCF of 2/3, 4/6, and 3/7 ?

HCF of numerator     =      2, 4, 3    = 1
LCM of denominator =      3, 6, 7    = 42
HCF of numerator
HCF    =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
LCM of denominator

1
HCF    =      ⎻⎻⎻
42

• As we have been given a question, if the first number is a, LCM b and HCF C, find the second number.In this case, there is a simple formula to solve the question, through which you can easily solve.
LCM b  x   HCF C
second number  =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
first number

b  x   C
second number  =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
a

If the first number is 25, LCM 20 and HCF 5, find the second number.

b  x   C
second number  =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
a

20  x   5
second number  =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
25

100
second number  =      ⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻⎻
25

second number  =      4

NOTE :     The product of  LCM & HCF of any two given numbers is the same as the product of those given numbers.

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