Question

Find the LCM and HCF of 336 and 54 and verify that LCM×HCF=Product of the two numbers

Answer 1

Hi ,

Let a = 336 ,

b = 54

Expressing a and b as a product of

prime factors

336 = 2 × 2 × 2× 2 × 3 × 7 = 2^4 × 3 × 7

54 = 2 × 3 × 3 × 3 = 2 × 3^3

HCF ( 336 , 54 ) = 2 × 3 = 6

LCF( 336 , 54 ) = 2^4 × 3^3 × 7 = 3024

We know that ,
_____________________________

For any two positive integers a and b .

HCF( a , b ) × LCM( a , b ) = a × b
_____________________________

Verification :
------------------

HCF( 336 , 54 ) × LCM( 336 , 54 )

= 6 ×3024

= 18144 -----( 1 )

a × b = 336 × 54 = 18144 ----( 2 )

Therefore ,

( 1 ) = ( 2 )

I hope this helps you.

:)

Answer 2

Answer:

18144

Step-by-step explanation:

LCM *HCF =PRODUCT OF THE TWO NUMBER

a= 336

b= 54

366=2^4*3*7

54 =2*3^3

HCF=6

LCM= 3024

LCM *HCF =Product of two no's

----)6*3024

---)18144.

hence proved or verified

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