Question

The greatest 4 digit number which is exactly divisible by 8'9and 12 is

Answer 1

Answer:

$8 = 2 \times 2 \times 2 \\ 12 = 2 \times 2 \times 3 \\ 20 = 2 \times 2 \times 5 \\ lcm = 2 \times 2 \times 2 \times 3 \times 5 = 120$

greatest 4 digit number is 9999

Then divide this number by LCM of 8,12,20

remainder 39

now substract 39 from the 4 digit number

9999-39= 9960

9960 is the greatest number 4-digit number divisible by 8,12,20

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