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Differential Calculus

Blazing goIITian

Joined:	21 Dec 2007
Post:	1025

14 Jun 2008 10:52:48 IST

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655

lcm in periodic function

None

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???????

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Comments (5)

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

14 Jun 2008 11:46:17 IST

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come on
no one is answering

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

14 Jun 2008 11:46:35 IST

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is no one willing to help me

Mahesh Jain

Blazing goIITian

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14 Jun 2008 12:28:34 IST

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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.

BALGANESH

Blazing goIITian

Joined: 21 Dec 2007

Posts: 1025

14 Jun 2008 12:37:00 IST

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ok then how is
lcm of [ 2pie/3 , pie/6 , pie/12 ] = 2pie/3

SUNDEEP ALLAMRAJU

Blazing goIITian

Joined: 28 Feb 2008

Posts: 1014

14 Jun 2008 14:45:17 IST

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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.

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