+0  
 
0
55
1
avatar+30 

If the highest common factor and the lowest common multiple of a, b and c are 2019 and 20190
respectively, find the sum of possible value(s) of a.

 Aug 9, 2020
 #1
avatar+30926 
+2

The prime factors of 20190 are 2*3*5*673

 

Now 3*673 = 2019, so this is a, say. 

 

b and c must be multiples of this, so b  2*2019 = 4038 and c = 5*2019 = 10095

 

The three numbers are:  2019, 4038 and 10095

 

I'll leave you to add them up.

 Aug 9, 2020

46 Online Users

avatar
avatar
avatar
avatar