LCM

LCM of two fractions -- a1/b1 & a2/b2 is = LCM(a1,a2) / HCF(b1.b2) . Prove

11 Answers

62
Lokesh Verma ·

LCM of two fractions -- a1/b1 & a2/b2 is = LCM(a1,a2) / HCF(b1.b2) . Prove

This is a very good question

I likke the fact thta you have questioned this result.

Lets see why

LCM is a number which when multiplied by an integer gives both the numbers.

THe proof I think holeds only if a1, b1 are coprime to each other and a2, b2 are coprime to each other.

With this much in mind.. let us say that p/q is the lcm

now n.p/q = a1/b1
and m.p/a= a2/b2

Will this much info satisfy the whole thing?

9
Celestine preetham ·

byah uve stated definition of lcm wrongly !!!!

11
Gone.. ·

what does "coprime" mean./.. I didnt get the last part specially 2nd last line...can sum1 pls explain.

62
Lokesh Verma ·

yup i missed the word smallest ;)

62
Lokesh Verma ·

ronald.

coprime means prime to each other.. means no common factors

like 10 and 27

both are coprime to each other.

11
Gone.. ·

thank u bhaiya

9
Celestine preetham ·

no no that

LCM is a number which when multiplied by an integer gives both the numbers.

it shud be

LCM is least number which is a multiple of both the given nos

1
Shriya ·

nishant sir i am sorry i didn't get it !! what do we get ?

1
Shreyan ·

ya..celestine is right...it shud be the least multiple of both the nos..
nishant bhaiya, plz reply..

i ws doing the same thing the other way..
if p/q is the LCM, then

m\frac{a_{1}}{b_{1}} = n\frac{a_{2}}{b_{2}}=\frac{p}{q}

where m and n are least possible natural nos.

for p/q to be smallest, p should be as small as possible and q should be as large as possible..

but what next??? cudnt think of nething else...

1
Shriya ·

I have the same problem

11
Gone.. ·

can sum1 continue ??

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