Question

Using prime factoriation find HCF & LCM of 1152, 1664 ​

Answer 1

HEY, MATE

ANSWER    

Answer:

              prime Factoriation of 1152=2*2*2*2*2*2*2*3*3

              prime Factoriation of 1664=2*2*2*2*2*2*2*13  

              LCM=2^7*3^2*13=14,976

              HCF=2^7=128

              LCM*HCF=A*B

         ==>14,976*128=1152*1664

        ==>19,16,928=19,16,928

       HENCE,VERIFIED.

   

     ^_^ HOPE IT WILL HELP U ^_^

Answer 2

Answer:

prime factorisation of 1152 = 2*2*2*2*2*2*2*3*3

prime factorisation of 1664 = 2*2*2*2*2*2*2*13

HCF of 1152 & 1664 = 2*2*2*2*2*2*2

= 128

as we know that,

one number* other number= HCF * LCM

1152 * 1664 = 128 * LCM

LCM = (1152*1664)/128

LCM = 14976

product of two numbers = 1152 * 1664 = 1916928

LCM * HCF = 14976 * 128 = 1916928

hence,

product of two numbers = HCF * LCM