Question

Find H.C.F. & L.C.M. of

6, 27 &72,
using the prime factorisation method.​

Answer 1

Answer:

$\red\bigstar$ HCF of 6, 27 & 72 = 3.

$\red\bigstar$ LCM of 6, 27 & 72 = 216.

HCF

To find the HCF of 6, 27 &72 , we must primefactorize each number.

6 = 2 × 3

27 = 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

∵ Their is only 3 as common factor ,  the HCF of 6, 27 &72 = 3.

LCM

To find the LCM of 6, 27 &72 , we must primefactorize each number.

6 = 2 × 3

27 = 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

LCM of 6, 27 &72 =  2 × 2 × 2 × 3 × 3 × 3

LCM of 6, 27 &72 = 216.