Q.

The LCM and HCF of 26 and 91 by applying the prime factorization method is: 


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a

L.C.M = 132 and H.C.F = 32

b

L.C.M = 122 and H.C.F = 76

c

L.C.M = 154 and H.C.F = 32

d

L.C.M = 182 and H.C.F = 13 

answer is D.

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Detailed Solution

Given 2 numbers 26 and 91.
Prime factorization of 26 is,
Question ImagePrime factorization of 91 is,
Question ImagePrime factors are,
26=2×13= 2 1 × 13 1     91=7×13= 7 1 × 13 1  
The LCM is,
= 2 1 × 7 1 × 13 1     = 182
The HCF = 13.
Therefore, L.C.M is 182 and H.C.F is 13.
Hence, option 4 is correct.
 
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The LCM and HCF of 26 and 91 by applying the prime factorization method is: