Question

Find de HCF & LCM of 6, 72, &120 using prime factorisation method.

Answer 1

6=2*3 72=2*2*2*3*3 120=2*2*2*3*5 common factors=2*3=6(HCF) LCM=2*2*2*3*3*5=360(LCM)

Answer 2

Here we have :-

6 = 2 × 3

72 => 2 × 2 × 2 × 3 × 3 = 2³ × 3²

120 => 2 × 2 × 2 × 3 × 5 = 2³ × 3¹ × 5¹

HCF(6,72,120) => 2¹ × 3¹ = 6

LCM(6,72,120) => 2³ × 3² × 5¹ = 360