Question

(i) What is the greatest four digit number which is exactly divisible by 12, 15 and 14
(ii) What is the greatest five digit number which is exactly divisible by 12, 15 and 14?​

Answer 1

1. Answer:The Largest number of four digits is 9999. Required number must be divisible by L.C.M. of 12,15,18,27 = 540.
2. 9999999999 is the largest number.Now find the lcm of 12,15,36,that is 180.Now divide 99999/180=99(the quotient).So,now subtract 99999-99=99900. Therefore,99900 is the greatest number divisible by 12,15,36. 99900 is the greatest number of 5 digits exactly divisible by 12,15 and 36