This question is taken from real numbers chapter in which we have given three numbers 15, 24 and 36 and we have to find the greatest number of four digits which is exactly divisible by the above numbers.
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 1B, question no 13
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=2³×3
36=2²×3²
LCM (15,24,36)= 2³×3²×5=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.