Question

the greatest number of 6 digit which is exactly divisible by 27,45,60,72,96 is​

Answer 1

Answer:

So,

27 = 3 x 3 x 3

45 = 3 x 5 x 3

 

60 = 3 x 4 x 5

 

72 = 3 x 3 x 2 x 2 x 2

 

96 = 3 x 2 x 2 x 2 x 2 x 2

so LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

LCM = 4320

To find largest 6 digit multiple of 4320, we divide 4320 by largest 6 digit number i.e. 999999, we get

999999 / 4320 = 231.48

So, largest multiple will be 4320 x 231 = 997920