Purchase mobileappIcon Download our Mobile App
Call Us at 011-40705070  or  
Click to Call
Select your Board & Class
  • Select Board
  • Select Class
badges

WHAT IS THE DIFFERENCE BETWEEN HCF AND LCM ?

Asked by Olivia Oswald P...(parent) , on 18/8/11

EXPERT ANSWER

Hi!
Here is the answer to your question.
 
The HCF of two or more numbers is the largest common factor of the given numbers. It is the smallest number which divides the two or more given numbers.
The LCM of two or more numbers is the smallest number that is a common multiple of two or more numbers. It is the smallest number which is divisible by two or more given numbers.
 
Consider two numbers 120 and 144.
Prime factorization of 120 = 2 × 2 × 2 × 3 × 5
Prime factorization of 144 = 2 × 2 × 2 × 2 × 3 × 3
HCF of 120 and 144 = 2 × 2 × 2 × 3 = 24. 24 is the smallest number which divides both 120 and 144.
LCM of 120 and 144 = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720. 720 is the smallest number which is divisible by both 120 and 144.
 
Cheers!

Posted by Lalit Mehra(MeritNation Expert)on 19/8/11

This conversation is already closed by Expert

More Answers

 HCF is the highest common factor and LCM is the lowest common factor between the 2 or more specific numbers.......!!

Posted by Tanya Sethi(student)on 18/8/11

 in hcf we find the highest common factor and in lc we take out lowest common factor of 2 or more than 2 numbers

Posted by Ankit(student)on 18/8/11

HCF-HIGHEST COMMON FACTOR

LCM- LOWEST COMMON FACTOR

  1 IS ALWAYS COMMON FACTOR

Posted by Shivani(student)on 18/8/11

Hi
 
The HCF of two or more numbers is the largest common factor of the given numbers. It is the smallest number which divides the two or more given numbers.
The LCM of two or more numbers is the smallest number that is a common multiple of two or more numbers. It is the smallest number which is divisible by two or more given numbers.

Cheers

Posted by Prashant Gunjal(student)on 22/8/11

badges

 in l.c.m we find the lowest common multiple where as in h.c.f  we find the hgighest common factor.

Posted by Deergha Nagpal(student)on 7/9/11

badges

HCF-Highest Common Foctor

LCM-Lowest Common Multiple

Posted by Akshay(parent)on 8/12/11

Ask a QuestionHave a doubt? Ask our expert and get quick answers.
Show me more questions

close