find the greatest 5 digit number which can be divided by84,108,144
Answers
Answer:
There is no number. So, please check the question and ask again
Step-by-step explanation:
Lets find LCM of 84,108,144
= 3024
Now multiply 3024 with 1,2,3,4,....,n till u find the greatest 5 digit number divisible by 84,108 and 144
3024×1 = 3024
3024×2 = 6048
3024×3 = 9072
3024×4 = 12,096
3024×5 = 15,120
3024×6 = 18,144
3024×7 = 21,168
......... Like this the multiplication continues and it is very time consuming....
So, just divide it by largest 5 digit number I.e 99999 by 3024 and subtract the remainder from 99999 to get the largest 5 digit number perfectly divisible by 84,108,144.
= 99999/3024, Q= 33, R=207
Now 99999-207 = 99792 is the Answer
TEST
99792÷84 = 1188 R = 0
99792÷108 = 924 R = 0
99792÷144 = 693 R = 0
Hence proved also ...
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