Page 234 - Math Grade 12 (Advance)
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PROEUS DARA



                 runnm'iH!J1 n :


                5).  - d5  n  dHl'Ul?Hl..flH.3hl  a  sh  b  t2'HH18GSSr:i~B"l§ctl~ k Sh  k 2   &'f:jrn
                                                                            1
                                  1  1   u                     u      ....
                                              0  1':
                                ""
                                                             sh  nm  = nbk
                       m  = ak Sh  m  = bk 2   2'1'1)  nm  = nak 1   ""   2
                              1
                       t:JtHSg  nm  ctlrl'Ulr:iM~"l§&s  na  Sh  nb  '1
                        u               1  1   u

                    - ttl  p  ctlrJ'Ulr:iMm&s  na  Sh  nb  t2'18  p  =  naq =  nbq 2
                                                                    1
                                  1  1   u                     .
                                           ~                         ""~
                       mh  aq =  bq =  m  tw rn  m  dHl'Ulr:iM~"l§t8  a  Sw  b  '1
                              1     2                   1  1   u









                       f:ltH88  LCM(na,  nb)  = nLCM(a,  b)  '1
                        u
                6).  ffi"!§  5)  tttlrurun  n  = ~  bf:iQl8  :  LCM(~, ~) = LCM~a, b)  '1

                  0    1  0
                 nttmtft'it  :  ~n LCM(25,  15)  '1
                        u
                 tJtiJt!J  :  LCM(25,  15)  = LCM(5 x 5,  5 x 3)  = 5LCM(5,  3)  = 5(5 x 3) = 75  '1
                   Ill
                 LuHu~ :  ~n LCM(l75,  125)  '1

          2.3.  9mrl~hHHtlw  LCM (a,  b) 8w  GCD (a,  b)

                n.  ntmm.nnnmdtHtisfttnssutl'tnnwm
                       II   l/U    I       ll          c:t





                 ffih  m  = LCM(a,  b)

                 tr:iQlS  m  =  ak =  bk  ii2J  ak  &'unttltfsh  b
                              1     2        1
                 ~msg k  1   ~unttlrlsh b  ii2Jms  k = bq
                                                  1

                ak 1  = bk  2   n5Hn5ictl  abq = bk  2   ~ k = aq  ii2J  m  = bk = abq  &2'18  m  ctl
                                                   2
                                                                      2
                   •             0     ~
           ri'Ulr:iMtS  ab   m  fiutitSn  m  q  =   '1
              1  1            u    1
                 f:lmsg  m(a,  b)  = ab  '1
                 u

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