Question

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

Answer 1

$17,23,29$ are prime numbers.they have only two factors i.e 1 and itself
$f\left(17\right)=1,17$
$f\left(23\right)=1,23$
$f\left(29\right)=1,29$

hcf of prime numbers =1
hcf$(17,23,29)=1$

lcm of prime numbers= product of the numbers

hcf$(8,9,25)=1$(1 is common factor of each number)
$lcm=17\ast 29\ast 23=11339$