I'm still confused. In which situations should we find the HCF of given numbers, and in which situations should we find the LCM?? Please provide a generalized statement instead of examples.

Asked by  | 6th May, 2011, 12:00: AM

Expert Answer:

Every number has multiples and  divisors (one and more).
now we have to clear the doubt of multiples and factors
example take a number 36
then we have multiples 36*1=36,36*2=72,36*5=180 and so on (infinte)
but in case of factor we have limited factors of number
either it can be two or more than two
as 36 =2*3*2*3= 6*6=6*2*3 =18*2=12*3=36*1
so the factors of 36 are1,2,3,6,12,18and36
in case of prime number we will have only two factors
eg factor of 19 are 1and 19
LCM- means Least  common multiple of two or more than two numbers
in any case we will have infinte multiples but we need to find least one
eg LCM of  (36=2*2*3*3)and (42=2*3*7)=(2*2*3*3*7=252)
HCF- mean highest common factor
HCF of 36 and 42
42=36*1+6
36=6*(6)=0
so 6 is the hcf
in any case we will have limited factors but we need to find out the highest one
in real number you can find the formule(euclid divisor lemma etc)

Answered by  | 7th May, 2011, 04:14: PM

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