Question

Determine the greatest  3-digit no. exactly divisible by 8,10,12

Answer 1

L.C.M. of 8,10 &12 is 120
The greatest number that that is exactly divisible by 8,10 & 12 
.·. the number is:
120×8=960
120×10=1200
120×12=1440
Since, 1200 & 1440 are not 3-digit numbers.
We check whether 960 is divisible by 8, 10 & 12.
960÷8=120
960÷10=96
960÷12=80
.·. The Greatest 3-digit no is 960.
  

Answer 2

Thank you for asking this question. Here is your answer:

First we will find LCM of 8,10 and 12

For this we will get 120

The greater number that is exactly divisible by 8,10,12

120 x 8 = 960

120 x 10 = 1200

120 x 12 = 1440

So the three digit number is 960

If there is any confusion please leave a comment below.