Math, asked by anushka9046, 1 year ago

What is the greatest 5 digit number exactly divisible by 18, 24 and 30

Answers

Answered by AnswerStation
6
\bf\huge{99720}

The Greatest Number divisible by 18, 24 and 30 will also be divisible by their \bf{LCM}.

If you calculate their LCM, It turns about to be \bf{360.}

Any Number which is divisible by 360 is also divisible by its \bf{I.e\:12,\:18\:and\:24.}

To find out \bf{Greatest\:5\:digit\:number} divisible by 360 we will divide 99999 by 360 and then the \bf{subtract\:the\:remainder} from the \bf{dividend(i.e\:99999)}.

After doing the calculation you'll get your answer = 99720
Answered by pjahnabi007
0

Step-by-step explanation:

  • Answer is 10080
  • Because L. C. M Of 16, 18, 24, 30 is 720
  • But 720 is only three digit no.
  • But we want 5 digit number
  • so we will divide 10000 by 720 and get 13.888
  • So the Smallest Integer greater than that
  • So the number is 720*14 or 10080
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