Is it possible that H.C.F. and L.C.M. of two numbers are 18 and 380respectively?Justify
Asked by Rajarshi Basu | 23rd May, 2012, 08:01: PM
We know that LCM is the least common multiple and HCF is the highest common factor of the given numbers.
Therefore, LCM is a multiple and the HCF is a factor of the given numbers.
This means HCF must be a factor of the LCM
In the given case, if 18 is the HCF and 380 is the LCM of two numbers then 18 must be a factor of 380.
18 must divide 380
But, 18 is not a factor of 380
So its not possible to have two numbers whose HCF is 18 and LCM is 380.
Answered by | 23rd May, 2012, 10:57: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number