Using the result H.C.F x L.C.M = Product of numbers, fill in the blanks of the following
 
(a) First Number - 32 , Second Number - 48. HCF - 16, LCM _ ?
(b)      do           - 20,         do             - 28,  do  - ?  ,  do - 140
(c)      do           - 60,         do             - ?  ,  do  - 15,  do - 180
(d)      do           - ?  ,         do             - 84,  do  - 28,  do - 168
(e)      do           - 44,         do             - 88,  do  - 44,  do -   ?  

Asked by ramrekha_dlwvns | 10th Aug, 2014, 01:17: PM

Expert Answer:

For the all the above questions, we use the formula H.C.F x L.C.M. = Product of numbers

a right parenthesis space 16 space cross times space L C M space equals space 32 space cross times space 48 rightwards double arrow L C M space equals space fraction numerator 32 space cross times 48 over denominator 16 end fraction equals space 96  b right parenthesis space H C F space cross times 140 space equals space 20 space cross times space 28 rightwards double arrow H C F space equals space fraction numerator 20 space x space 28 over denominator 140 end fraction space equals space 4  c right parenthesis space 15 space cross times space 180 space equals space 60 space x space 2 n d space n u m b e r rightwards double arrow fraction numerator 15 space cross times space 180 over denominator 60 end fraction space equals space 2 n d space n u m b e r rightwards double arrow 2 n d space n u m b e r space equals space 45  d right parenthesis space 28 space cross times space 168 space equals space 1 s t space n u m b e r space cross times space 84 rightwards double arrow fraction numerator 28 space cross times space 168 over denominator 84 end fraction space equals space 1 s t space n u m b e r rightwards double arrow 1 s t space n u m b e r space equals space 56  e right parenthesis space 44 space cross times space L C M space equals space 44 space cross times space 88 rightwards double arrow space L C M space equals space 88

Answered by Mili Hariyani | 10th Aug, 2014, 06:54: PM