Question

find the hcf and LCM of 72 and 48 by prime factorisation method​

Answer 1

ʟᴄᴍ-:

Factors of 72

= 2 x 36

= 2 x 2 x 18

= 2 x 2 x 2 x 9

= 2 x 2 x 2 x 3 x 3

Factors of 48

= 2 x 24

= 2 x 2 x 12

= 2 x 2 x 2 x 6

= 2 x 2 x 2 x 2 x 3

Common Factors = 2 x 2 x 2 x 3

LCM of 48 and 72 is 144.