Find the HCF and LCM of 12, 15, 18, 27.

Answer:

Using prime factorization,

12 = 2 × 2 × 3 => 2² × 3

15 = 3 × 5

18 = 2 × 3 × 3 => 2 × 3²

27 = 3 × 3 × 3 => 3³

HCF = 3

LCM = 2² × 3³ × 5

LCM = 540