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Q.

If HCF (96, 404) is 4, then the LCM (96, 404) will be,

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a

9696

b

9996

c

9699

d

9666 

answer is A.

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Detailed Solution

Given,
HCF of 96 and 404 is 4.
We know,
For two numbers p and q,
LCM (p, q) × HCF (p, q) = p × q
We get,
LCM(96,404)×HCF(96,404)=96×404 ⇒LCM(96,404)×4=96×404 ⇒LCM(96,404)= 96×404 4 ⇒LCM(96,404)=96×101 ⇒LCM(96,404)=9696  
Therefore, the LCM (96, 404) = 9696
Hence, the correct option is 1.
 
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