Question

find the greatest 5 digit number which can be divided by84,108,144​

Answer 1

Answer:

There is no number. So, please check the question and ask again

Answer 2

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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