Question

Find the LCM and HCF of the following integers by applying the prime factorization method : 8, 9 and 25

Answer 1

8, 9, 25
$8=2\times 2\times 2=2^3$
$9=3\times 3=3^2$
$25=5\times 25=5^2$
HCF=Product of the smallest power of each common prime factor in the numbers =1
LCM=Product of the greatest power of each prime factor involved in the numbers =$8\times 29\times 225=1800$