The HCF and LCM of 17, 23 and 29 by applying the prime factorisation method is:

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The HCF and LCM of 17, 23 and 29 by applying the prime factorisation method is:

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1, 7000

2, 5000

1, 7429

1, 8000

answer is C.

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Detailed Solution

Given three numbers are 17, 23 and 29.
Firstly, we have to find H.C.F, writing prime factors of all given number,

17 = 17 × 1 23 = 23 × 1 29 = 29 × 1

Since, only 1 is common factor of all number,
H.C.F = 1.
The formula for finding L.C.M is
= Highest common factor × Product of remaining prime factors

= 1 × 17 × 19 × 23 = 7429

L.C.M = 7429
Hence, option 3 is correct.

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