during periodicity

in some cases we have to find the lcm

can anyone tell  me how to do  it???

for ex - lcm of pie/2  and pie/3   is pie

how???????

m(pi/2)=n(pi/3) acc. to LCM definition,hence (n/m)=3/2 so least value of n and m can be n=3 and m =2,hence we get LCM as pi.

U must try to understand from the name Least Common Multiple only.If l.c.m of a group of no.s is k,then each no. in the group shud give k by multiplying by a suitable +ve integer.

In case of 2pi/3,pi/6,pi/12,If l.c.m is k then

k=m(2pi/3)=n(pi/6)=p(pi/12)

2m=n/2=p/4

m=n/4=p/8.

So,the least values of m,n,p are 1,4,8 and l.c.m is k=2pi/3.

Hope u got it.