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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

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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

(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

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NCERT Solution Class 10 Chapter 1 Exercise 1.2 Q5 Find the LCM and HCF of the following integers by applying the prime factorization method
How to find LCM and HCF using prime factorization method, Find LCM and HCF of integers by prime factorization method