Jason noticed that his house number is exactly divisible by 7. His friend Sam pointed out that it is also divisible by 18. If his house number is a 4-digit number, find the smallest number that could be his house number.
Mathematics · College · Tue Nov 03 2020
Answered on
Given :
House number of Jason is divisible by 7 and 18.
So, L.C.M of 18 and 7 = 18 ×7
= 126
It is given that house number of Jason is of 4 digit.
So, smallest number possible = 1000/126
Here, remainder is 118. So, to get the smallest number which is divisble by 126. We need to add 8 to 1000
So, smallest number = 1000 + 8
= 1008
Hence, smallest 4-digit number that could be Jason's house number is 1008.