Question

find the lcm and hcf of of the following integers by applying the prime factorisation method​

Answer 1

Answer:

(1)17,23,29

Hcf is 1 because given numbers are prime

(2)8,9,25

Hcf is 1 because there are no common factors

Answer 2

(i) 12,15 and 21

12 = 2^2 × 3

15 = 5 × 3

21 = 3 × 7

HCF = 3

LCM = 2^2 × 3 × 5 × 7

= 420

(ii) 17,23 and 29

17 = 17

23 = 23

29 = 29

As there is no common factor,

HCF = 1

LCM = 17 × 23 × 29

= 11339

(iii) 8,9 and 25

8 = 2^3

9 = 3^2

25 = 5^2

As there is no common factor,

HCF = 1

LCM = 2^3 × 3^2 × 5^2

= 1800