Friday 20 January 2012

LCM,GCF ,ratios for the students of Grade V

Today we are going to learn about LCM,GCF ,ratios for the students of Grade V of tamilnadu  education board.
For the Grade V we can define LCM (least common multiple), GCF ( greatest common factor) ,ratios
The description of the above mentioned topics is as follows and you can get more help regarding this on free math tutoring available on the Internet.
What is LCM?
LCM  or  the least common multiple is said to be as the common and the least set of numbers.
In order to find out the LCM we first of all write out the multiples of the numbers and after that we find out the common multiples of the given numbers.
Then to finally find out  the LCM we choose the least out of them and it is called as the LCM

LCM is said to be as the number  theory. to further understand the LCM  we can understand it with the help of an example. Suppose we have to find the LCM of 4 and 6?
Multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76 etc.

and the multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 

Common multiples of 4 and 6 are simply the numbers that are in both lists:
12, 24, 36, 48, 60, 72,
So the least common multiple  or the LCM of 4 and 6 is the smallest one of those: 12
It is also known by the other name as the "lowest common denominator" or LCM which is taken out before we add the two fractions.For more LCM examples click here.
 What is GCF and how to find the greatest common factor?
GCF is also known as the greatest common factor.or greatest common divisor or,highest common multiple.
The GCF is the largest or the greatest of the common factor of any two  or more given numbers.

Let us take an example to understand the GCF:
Example of GCF: suppose we have to find out the GCF of 15 and 30
The factors of 30 are 1,2,3,5,6,10,15 and 30
The factors of 15 are 1,3,5,15
The common factors are 1,3,5,15
The greatest common factor or the GCF is thus 15

Ratios:
Ratios is said to be as the  relationship between two numbers of same kind.we can express it in the form of a:b.The numbers A and B are sometimes in ratios also called  as the terms.
Let us try and understand the ratios with the help of an example

suppose we  have 10 pairs of socks for every pair of shoes then the ratio of shoes: socks would be 1:10 and the ratio of socks : shoes would be 10:1
ratios can be written in various forms
we can express ratios like a:b, a/b, or a to b
let us try and understand ratios  with the help of an example
  • let us suppose there are 16 ducks and 9 geese in a park..
  • we can express them in the form of the ratios as follows
  • ratio of ducks: geese 16:9 or 16/9, 16 to 9
from this we now have a knowledge about the LCM,GCF and ratios and To get information about Multiplication facts and tables and Grade V  Problem solving strategies you can refer to Internet.









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