Question

find LCM and HCF of 12,18 and 24 by prime factrization method​

Answer 1

Question:-

find LCM and HCF of 12,18 and 24 by prime factrization method

Answer:-

The LCM of 12,18,24 12 , 18 , 24 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 12,18,24 12 , 18 , 24 is 2⋅2⋅2⋅3⋅3=72 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 = 72 . Multiply 2 2 by 2 2 . Multiply 4 4 by 2 2 .

Factorization of the following.

12=1×2×2×3

18=1×2×3×3

18=1×2×3×3

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

HCF=6