Question

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

Answer 1

30 = 2 × 3 × 5
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²  
432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁴ × 3³
HCF = product of smallest power of each common prime factor in the numbers
= 2 × 3 = 6
LCM = product of greatest power of each prime factor involved in the numbers
= 2⁴ × 3³ × 5 = 2160