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  • Find HCF and LCM of 404 and 96 and verify that HCF  LCM = Product of the two given numbers.     </di

Find HCF and LCM of 404 and 96 and verify that HCF \times LCM = Product of the two given numbers. 

 

 

Answers (1)

404 = 2 \times 2 \times 10 1 = 2 ^ 2 \times 101 \\\\ 96 = 2 \times 2 \times2\times2\times2\times3= 2 ^ 5 \times 3

 For HCF , we list the common  prime factors and their smallest exponents in 404 and 96 

 common prime factors = 2 , least exponent = 2 

 HCF = 2^2 = 4

 For LCM , we list all the prime factors of 404 and 96 and also their greatest exponent 

 

factors of 96 and 404  greatest exponent

2    

 5

3

 1

101

 1

LCM (404 , 96 ) = 2^5 \times 3 \times 101 = 9696 \\\\

now 

product of two numbers = 404 \times 96 = 38784\\\\ HCF \times LCM = 9696 \times 4 = 38784

so , clear that 

HCF \times LCM = product of two numbers 

Posted by

Safeer PP

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