Question

33. Find the HCF and LCM of 12, 72 and 120 using prime factorization.​

Answer 1

Answer:

Step-by-step explanation:

12=2×3×2

72=2×2×2×3×3

120=2×3×2×2×5

Common factors=2,3,2

Highest common factor(HCF)=3

LCM=2×2×3×2×3×5=360

Answer 2

Step-by-step explanation:

HCF of 12,72,120

Factor of 12=1,2,3,4,6,12

Factor of 72=1,2,3,4,6,8,9,12,18,24,36,72

Factor of 120=1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Common factor of 12,72,120=1,2,3,4,6,12

Highest common factor of 12,72,120=12

Hence,HCF of 12,72,120=12

LCM of 12,72,120

Factor of 12=1,2,3,4,6,12

Factor of 72=1,2,3,4,6,8,9,12,18,24,36,72

Factor of 120=1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Common factor of 12,72,120=1,2,3,4,6,12

Lowest common factor of 12,72,120=