Question

solve the right ticked ouestion q. no 2​

Answer 1

Hey mate !!

Answer :

17 , 23 and 29 are prime numbers so their LCM would be the product of all three numbers. i.e.

17 × 23 × 29 = 11339

As all of them is prime numbers , if we do prime factorisation of them , then there is only 1 as their common factor so the factorisation would end on the first step. Hence , their product will be their LCM.

Hope it helps you. :-)

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Answer 2

Answer:

$\underline{\Huge{\texttt{LCM = 11339, HCF = 1}}}$

Step-by-step explanation:

LCM (17, 23, 29):

Prime factorization of 17 = 1 × 17  = $1^1 \times 17^1$

Prime factorization of 23 = 1 × 23 = $1^1 \times 23^1$

Prime factorization of 29 = 1 × 29 = $1^1 \times 29^1$

Using the set of prime numbers from each set with the highest exponent value we take $1^1 \times 17^1 \times 23^1 \times 29^1$ = 11339

Therefore LCM (17, 23, 29) = 11339

HCF (17, 23, 29):

The prime factorization of 17 is 1 × 17 = 17

The prime factorization of 23 is 1 × 23 = 23

The prime factorization of 29 is 1 × 29 = 29

The occurrences of common prime factors of 17, 23 and 29 is 1.

So the HCF of 17, 23 and 29 is 1 × 1 = 1