Question

Find LCM and HCF of 12, 18 and 24 by prime factorization method?​

Answer 1

Answer:

HCF

Prime factorisation of 12 18 and 24

2 12 2 18 2 24

2 6 3 9 2 12

3 3 3 3 2 6

1 1 3 3

1

Prime factorisation of 12=2×2×3

Prime factorisation of 18=2×3×3

Prime factorisation of 24=2×2×2×3

Common in these numbers=2×3=6

Therefore,

HCF=6

LCM

2 12,18,24

2 6,9,12

2 3,9,6

3 3,9,3

3 1,3,1

1,1,1

LCM of 12,18 and 24=2×2×2×3×3

=72

LCM=72

Answer 2

Explanation:

Factorization of the following.

12=1×2×2×3

18=1×2×3×3

24=2×2×2×3

Hence,The common factor is 1,2,3. This implies that

HCF=6

LCM of 12, 18, 24

= 2×2×2×3×3

= 72