Question

8,25 ,Find the LCM and HCF of the given number and check their relationship.

Answer 1

Heya !!




Prime factorisation of 8 = 2 × 2 × 2



Prime factorisation of 25 = 5 × 5




HCF of 8 and 25 = 1



And,




LCM of 8 and 25 = 2 × 2 × 2 × 5 × 5 = 200.


As we know that,



One number × Other Number = HCF × LCM



8 × 25 = 1 × 200



200 = 200.

Answer 2

Let a = 8 , b = 25

Finding LCM:

LCM ( 8 , 25 ) = 8 × 25 = 200

Finding HCF :

8 = 2 × 2 × 2

25 = 5 × 5

HCF( 8 , 25 ) = 1

a × b = 8 × 25 = 200

LCM × HCF = 200 × 1

Therefore,

a × b = LCM( a , b ) × HCF ( a , b )

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