LCM And HCF Undersatnding

                                                            LCM and HCF

LCM stands for Lest common multiple.

                    Least ==  smallest                                              Highest = Gratest
                   Common = among number                                  Common = among numbers
                    Multiple =  explained below                                Factors= Divisor

there are two words one is factor and other is multiple.Consider this example 6

we can write 6 like this  3 x 2 = 6

 3 and 2 are factors of 6. It means that 6 is divisible by 2 and 3.

While 6 is multiple of 3 and 2.It means that 6 comes in the table of 3 and 2 so we can get 6 if we multiply 3 and 2

Now we know the meaning of basic terms .
lets start with LCM of two numbers 2 and 5

LCM means that we ahve to find the smallest common multiple

Multiple of 2 are 2 x 1= 2                        Multiple of 5 are  5 x 1= 5
                          2 x 2 = 4                                                  5 x2=10
                          2 x3 = 6                                                   5 x3=15
                          2 x4 = 8
                         2 x 5  =10


now the least common multiple of 2 and 5 is 10 
 Now Consider numbers 3 and 6
 so clearly LCM is 6 because 6 is least number that comes in table of both 3 and 6