SOLUTION: Find the smallest possible integer when divided by either 3,4 or 5 with a remainder of 2.

Question 1001840: Find the smallest possible integer when divided by either 3,4 or 5 with a remainder of 2.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

must be divisible by ,,
Hence

So for any integer .
since the problem asks for the "smallest positive" such number, the answer is:
or
=> smallest number divisible by ,,
since we also have reminder of , your number is

check:
and reminder
and reminder
and reminder

RELATED QUESTIONS
Find the smallest possible integer which, when divided by 3 has a remainder of 1, when... (answered by richard1234,Edwin McCravy)

What is the smallest possible integer that's greater than 100, and leaves a remainder of... (answered by CubeyThePenguin)

What is the smallest positive integer that gives a remainder of 1 when divided by 4, a... (answered by Edwin McCravy)

Find the smallest number that gives a remainder of 1 when divided by 4, a remainder of 2... (answered by richwmiller)

Hi When a number is divided by 3 it gives a remainder of 2. When the same number is... (answered by Alan3354,greenestamps)

What is the smallest whole number that has a remainder of 1 when divided by 4, a... (answered by RAY100)

A certain number leaves a remainder of 4 when divided by 5, a remainder of 5 when divided (answered by ikleyn,ankor@dixie-net.com)

What is the smallest positive integer which, when divided by each of 2, 3, 4, 5, 6 and... (answered by greenestamps)

What is the smallest interger greater than 3, which when divided by 4, 5, or 6, will have (answered by ankor@dixie-net.com)