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Q.

Find the LCM of 96 and 404 by prime factorization method.


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a

    9696

b

    4764

c

    100

d

    6432 

answer is A.

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Detailed Solution

Given,
The numbers are 96 and 404.
Prime factorization of 96 and 404 is,
⇒96=2×2×2×2×2×3×3 ⇒96= 2 5 × 3 1 ⇒404=2×2×101 ⇒404= 2 2 ×101 ⇒HCF(96,404)= 2 2 ⇒HCF=4  
We know, that HCF×LCM= product of two natural number  ,
⇒HCF(96,404)×LCM(96,404)=96×404 ⇒4×LCM(96,404)=96×404 ⇒LCM= 96×404 4 ⇒LCM=96×101 ⇒LCM=9696  
Thus, the LCM of 96 and 404 is 9696.
Therefore, option (1)     is correct answer.
 
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