 Problem on finding least number - XP Math - Forums Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment  XP Math - Forums Problem on finding least number 07-01-2014 #1 burgess   Join Date: Jun 2014 Posts: 14 Problem on finding least number Help required solve math homework problem What is the least number that should be added to 2497 so that the total is exactly divisible by 5, 6, 4 and 3? Thanks  07-10-2014 #2 Dark88Dragon   Join Date: Aug 2013 Posts: 20 The number is the number of the illuminati, 23. This would mean the next number dividable by 3,4,5,6 is 2497+23 = 2520. 3*4*5*6 = 360 ==> 2520 / 360 = 7 180 would also work out because "360/180 equals 6/3".  07-12-2014   #3
MAS1   Join Date: Dec 2008
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 Originally Posted by burgess Help required solve math homework problem What is the least number that should be added to 2497 so that the total is exactly divisible by 5, 6, 4 and 3? Thanks
I am assuming you mean the least positive number that can be added as there would not be a least negative number.

For a number to be divisible by 3 the sum of the number's digits should be divisible by 3.
For a number to be divisible by 4 the last 2 digits of the number should be divisible by 4.
For a number to be divisible by 5 the last digit of the number should be either 0 or 5.
For a number to be divisible by 6 the number should be even and diviisble by 3.

So to be divisible by 5 we could add 3 to 2497 giving 2500. 2500 is divisible by 5 and 4, but not 3 or 6.

So we keep adding 10. The next number to try would be 13. 2497 + 13 = 2510. 2510 is not divisible by 3.

Let's try adding 23. 23 + 2497 = 2520. 2520 is divisible by 3, 4, 5, and 6.  12-15-2014 #4 WilliamRVogl   Join Date: Dec 2014 Posts: 6 Taking the LCM of numbers 3, 4, 5, and 6 we get 60 Then dividing 2497 by 60 we get 41 with 37 remaining Means we have to add 23 to 37 to be 60 and to 2497 to be completely divide by 60 or 3, 4, 5, and 6. The answer is 23.  09-03-2019 #5 CharlesBib   Join Date: Jul 2019 Posts: 2 Problem on finding least number You should do some game programming tutorials to get to know the logical conceptions of incremental thinking - that knowledge will solve your beginner problem then Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
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