Can two numbers have 18 as their HCF and 380 as their LCM? Give reason.

Question : Can two numbers have 18 as their HCF and 380 as their LCM? Give reason. 

Doubt by Ananya

Solution : 
We know, LCM of two numbers is always divisible by HCF of same two numbers i.e. HCF is always the multiple of LCM.

Here 
LCM = 380
HCF = 18

LCM/HCF = 380/18 = 21.11
Clearly, it is not completely divisible. So we can say that two numbers can't have 18 as their HCF and 380 as their LCM.