Question

find the greatest number of four digits which is exactly divisible by 15,24,36​

Answer 1

The greatest four digit number =9999

we can get the required number by following steps:

step 1 : Divide 9999 by LCM of 15,24 and 36

Step 2 : Subtract result of step 1 from 9999.

Prime factorization :

15=3×5

24=2^3×3

36=2^2x3^2

LCM (15,24,36)= 2^3×3^2×5=360

Step 1 : Dividing 9999 by 360, we get 279 as remainder.

Step 2 : subtract 279 from 9999

9999−279=9720

the greatest number of four digit which is exactly divisible by 15,24 and 36 is 9720.

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Answer 2

Answer:

9720

Step-by-step explanation: