Question

using prime factorization find the hcf and lcm of 72,


126 and 168 also show that hcf × lcm is not equal to product of the three numbers

Answer 1

$72 = {2}^{3} \times {3}^{2}$
$126 = 2 \times {3}^{2} \times 7$
$168 = {2}^{3} \times 3 \times 7$
HCF =2x3=6
LCM
${2}^{3} \times {3}^{2} \times 7 = 504$

LCM X HCF = 6x504=3024
Product of three number= 72 x 126 x 168
= 1524096.
Therefore the Product of given numbers not equal to LCM x HCF