Question

Find the greatest four digit number which is a exactly divisible by 16 20 24 28 and 35
Find the greatest number of 4 digit which is exactly divisible by 16 20 24 28 and 35

Answer 1

LCM of 16,24,28 and 35 is 1680

greatest 4 digit no. is 9999

(divide 9999 by 1680)

the remainder is 1599

Required number =9999-1599=8400

8400 is the greatest number of 4digits that is exactly divisible by 16,24,28 and 35

hope it helps