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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