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Real Numbers

Question
CBSEENMA10006098

Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29 

Solution

(ii) 17, 23 and 29 
WiredFaculty

Now, 17 = 1 × 17, 23 = 1 × 23, 29 = 1 × 29

Here, 1 is the smallest common factor.

∴ H.C.F. (17, 23, 29)= 1

And 171, 231 and 291 are the greatest powers of prime factors.

∴ L.C.M. (17, 23, 29) = 17 × 23 × 29 = 11339.