Mathematics Class VI

Knowing Our Numbers
Whole Numbers
Playing With Numbers
Basic Geometrical Ideas
Fractions
Integers
Decimals
Data Handling
Mensuration
Algebra
Ratio and Proportion
Practical Geometry
Symmetry

HCF And LCM Formulas, Problems with Solutions

List of HCF and LCM Properties

• Property 1

The product of LCM and HCF of any two given natural numbers is equivalent to the product of the given numbers.

LCM × HCF = Product of the Numbers

Suppose A and B are two numbers, then.

• Property 2

HCF of co-prime numbers is 1. Therefore, LCM of given co-prime numbers is equal to the product of the numbers.

LCM of Co-prime Numbers = Product of The Numbers

• Property 3

H.C.F. and L.C.M. of Fractions:

LCM of fractions =

HCF of fractions =

• Property 4

HCF of any two or more numbers is never greater than any of the given numbers.

Example: HCF of 4 and 8 is 4

Here, one number is 4 itself and another number 8 is greater than HCF (4, 8), i.e.,4.

• Property 5

LCM of any two or more numbers is never smaller than any of the given numbers.

Example: LCM of 4 and 8 is 8 which is not smaller to any of them.

Scroll to Top