Question

find lcm and hcf of 12,15,35 by prime factorization method.​

Answer 1

12 = 2² × 3

15 = 5 × 3

35 = 7 × 5

HCF = product of common factors with lowest power

HCF = 1

LCM = product of prime factors with highest power

==> LCM = 3 × 7 × 5 × 2²

==> LCM = 21 × 20

==> LCM = 420

Answer 2

Answer: LCM = 420

HCF = 15

Step-by-step explanation:LCM of 12,15,35 = 420

HCF of 12,15,35 = 12= 3 x 2 x 2

15 = 5 x 3

35 = 5 x 7

HCF = 3 x 5 = 15

Therefore LCM = 420

HCF = 15