Question

Find the LCM and HCF of the integers $17,23$, and $29$ by applying the prime factorization method.

Answer 1

Solve for LCM of given numbers

The prime factors of $17=17\times 1$

The prime factors of $23=23\times 1$

The prime factors of $29=29\times 1$

$\therefore HCF(17,23,29)=1$

$LCM(17,23,29)=17\times 23\times 29$

$\therefore LCM(17,23,29)=11339$

Hence, the L.C.M of $17,23$ and $29$ is $11339$ and H.C.F. of $17,23$ and $29$ is $1$.