HOW TO FIND LCM and HCF OF NUMBERS.

-

First we will find LCM of any two numbers.


First of all what is LCM.LCM mean the least(smallest) common multiple.It mean the common number which divides the given numbers and is the smallest number greater than 1.

For example:

Find the LCM of  8 and 12
 First find the factors of 8.
1✕8=8
2✕4=8
4✕2=8
8✕1=8
So the factors of 8 are 1,2,4,8
Now find the factors of 12.
1✕12=12
2✕6=12
3✕4=12
4✕3=12
6✕2=12
12✕1=12
So the factors of 112 are 1,2,3,4,6,12

Now factors of 8 and 12 are 
Factors of 8.   1,2,4,8
Factors of 12. 1,2,3,4,6,12
So the least common multiple of 8 and 12 is 2.


Now we will find the H.C.F.

H.C.F stands for highest common factor.It means a number which is factor of the given numbers and is the largest number.
Now let we take number 8 and 12 again.Now we will find their H.C.F.
The factor of 8 and 12 are as follow
Factors of 8.   1,2,4,8
Factors of 12. 1,2,3,4,6,12
The highest common factor of 8 and 12 is 4.
In this way you can find the LCM and H.C.F of any two or more than two numbers.

Comments

Post a Comment

Popular posts from this blog

Difference between Micro economic and Macro economics.

-
Image
Difference between Micro economic and Macro economics. Macro economics.                               Macro economics looks at the economy as a whole or its major components of the economy.     For example:All consumers,Federal government,US economy Micro economics.                               Micro economics focuses on a specific economic unit.      For example: An individual household,firm or industry. Both individual and society face economic problems. Because They need to make choices because wants exceed needs. Example of economic problems faced by individual's and society's. Individual's economic problems. The budget line Society's economic problems. land. labor. capital. Entrepreneurial Ability.  FOR More information. visit YouTube.  https://youtu...
Read more

Difference between even and odd prime and rational numbers.

-
Difference between even and odd prime and rational  numbers. Even numbers:                              Even numbers are those numbers which can be divided by 2.For example 2,4,6,8,1000 200 250 are the example of even no which are completely divisible by 2. odd numbers:                           The numbers which can not be divided by 2 are called odd numbers.For example the number 3,5,7,11,21,33,99,9999,73 are odd because they are not divisible by 2. You can differentiate a number is odd or even you have to divide that no by 2.If it is completely divisible by 2 it means it is even.IF it is not divisible by 2 than its odd. Prime numbers:                               A prime no is a positive number greater than 1 that is divisible by itself or by 1. 1 is...
Read more

What is the greatest common divisor and how to find the greatest common divisor of two numbers.

-
Greatest common divisor:                                                The greatest common divisor of  two integers a and b.Which are not both zero is the largest integer that divides both a and b.Which is written as (a,b) and is also written as,     gcd(a,b) The  greatest common divisor is a number which should divide the number a and b,Now we find the gcd of some numbers as under. For example:  Find the gcd of  24 and 30. First find the divisors of  24 and 30  we have.         24 = 1,2,3,4,6,8,12,24         30 = 1,2,3,5,6,10,15,30 Now we seen that there are many common divisors of 24 and 30.these are (1,2,3,6) but we have to chose the largest number which is a common divisor of 24 and 30.Here 6 is the largest integer that is the greatest common divisor of both 24 and...
Read more