Question

Using prime factorization, find the HCF and LCM of:
$30,72,432$

Answer 1

$30=2\times 3\times 5=2^1\times 3^1\times 5^1$

$72=2^3\times 3^2=2^3\times 3^2\times 5^0$

$432=2^4\times 3^3=2^4\times 3^3\times 5^0$

From the above

$HCF=2^1\times 3^1\times 5^0=6$

$LCM=2^4\times 3^3\times 5^1=2160$