### 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.

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