Question

Find the HCF and LCM of the following integers by prime factorisation method
(1) 204.1020.1190
(1) 125.2. 1617
(iii)
(iv) 1260,1800,37807560
504,2394,4725​

Answer 1

Answer:

Question 3. Find the LCM and HCF of the following integers by applying the prime factorization method.

(i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25

Answer:

(i)

12 = 2 x 2 x 3

15 =3 x 5

21 =3 x 7

HCF = 3

LCM = 2 x 2 x 3 x 5 x 7 = 420

(ii)

17 = 1 x 17

23 = 1 x 23

29 = 1 x 29

HCF = 1

LCM = 1 x 17 x 19 x 23 = 11339

(iii)

8 =1 x 2 x 2 x 2

9 =1 x 3 x 3

25 =1 x 5 x 5

HCF =1

LCM = 1 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800