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Q.

Find the LCM and HCF of the integers 26 and 91.

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a

183 and 11 

b

180 and 13

c

182 and 13

d

182 and 17

answer is B.

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Detailed Solution

The given integers are 26 and 91.
Prime factors of 26 and 91 is as follows,
26=2×13 91=7×13 LCM=13×2×7 ⇒LCM=182 ⇒HCF=13 Therefore, the LCM and HCF of the integers 26 and 91 are 182 and 13 respectively.
Hence, option 2 is correct.
 
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