Question

Find the L.C.M. and H.C.F. of the following integers by applying the prime factorization method. $17,23$ and $29$

Answer 1

Solve for the H.C.F and L.C.M of the given numbers

The prime factors of the given numbers are

$17=1\times 17$

$23=1\times 23$

$29=1\times 29$

The common factor is $1$

$\therefore$H.C.F.$(17,23,29)=1$

Now finding the Least Common Multiple (LCM) of $17,23$and $29$

$\therefore$L.C.M.$(17,23,29)=23\times 29\times 1\times 17$

$\Rightarrow$L.C.M.$(17,23,29)=11339$

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