Question

formula to find the LCM and HCF of three number ( p, q, r)​

Answer 1

Step-by-step explanation:

if p,q,r are three positive integers prove that.

LCM(p,q,r)=pqr×HCF(p,q,r)HCF(p,q)×HCF(q,r)×HCF(r,p)

Let HCF(p,q)=x hence p=xm and q=xn where m and n are relatively prime.

similarly let HCF(q,r)=y hence q=ym1 and r=yn1 where m1 and n1 are Relatively prime.

Alo let HCF(r,p)=z hence r=zm2 and p=zn2.

we have p=xm=zn2

Answer 2

Answer:

LCM: factorise p,q,r by prime factorisation and then muliply those factors and the remainder(if any) . e.g, let p,q and r have their factor as 1 and their self only (i.e,prime number) . Then prime factors of p,q and r are p,q and r only. So, their LCM=p×q×r

=pqr

HCF: note the factors of p,q and r, then find the common highest common factors. e.g, as p factors are '1' and 'p'.

Also l, factors of q are '1' and 'q'

And, factors of r are '1' and 'r'

Here '1' is the only thus, largest common factor.

So as mentioned above you can solve other questions too.☺️