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Olivia Oswald Pinto from INDIAN ENGLISH ACADEMY SCHOOL, asked a question
Subject: Math , asked on 18/8/11

WHAT IS THE DIFFERENCE BETWEEN HCF AND LCM ?

EXPERT ANSWER

Lalit Mehra , Meritnation Expert added an answer, on 19/8/11

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!

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Tanya Sethi From Delhi Public School, added an answer, on 18/8/11
3 helpful votes in Math

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

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Ankit From Chinmaya Vidyalaya, added an answer, on 18/8/11
15 helpful votes in Math

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

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Akshay From Bharathiya Vidya Bhavan, added an answer, on 8/12/11
1 helpful votes in Math

HCF-Highest Common Foctor

LCM-Lowest Common Multiple

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Deergha Nagpal From Manav Rachna International School, added an answer, on 7/9/11
6 helpful votes in Math

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

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Shivani From D.a.v. Public School, added an answer, on 18/8/11
29 helpful votes in Math

HCF-HIGHEST COMMON FACTOR

LCM- LOWEST COMMON FACTOR

  1 IS ALWAYS COMMON FACTOR

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Prashant Gunjal From Agp Public School Aurangabad Aurangabad431001 Maharashtra, added an answer, on 22/8/11
3 helpful votes in Math
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

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