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 Chapter 1: Real Numbers Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. How to find LCM and HCF using prime factorization method, Find LCM and HCF of integers by prime factorization method is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 1 absolutely free. NCERT Solutions for class 10 Maths Chapter 1: Real Numbers is very essencial for getting good marks in CBSE Board examinations
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
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