Question

the greatest 4 digit number which is exactly divided by 8 and 9 and 12​

Answer 1

For the greatest number exactly divisible by 8, 9 and 12 consider LCM (8,9,12)

$9 = 1 \times {3}^{2}$

$8 = {2}^{3}$

$12 = {2}^{2} \times 3$

$lcm = {2}^{3} \times {3}^{2}$

= 8 x 9

= 72; which is a 2 digit number

Consider:

72×140= 10080;which is a 5digit number

72×139= 10008;which is a 5digit number

72×138= 9963 ; which is a 4 digit number

Hope it helps you. ☺️

Answer 2

Hlo

given that

find the greatest 4 digit number which is exactly divided by 8 and 9 and 12

so first we find the lcm if 8 ,9 and 12

so the lcm of 8,9 and 12 is 36

Let the greatest 4 digit number be 9999

so 9999/36 when we divide 27 left as remainder so we subtract 27 from it so the greatest 4 digit number is 9999- 27=9972

HOPE TIS WILL HELP U ☺️☺️☺️