1. the LCM and HCF of the following integers by applying prime factorization method.
i. 12, 15 and 21
ii. 17, 23 and 29
iii. 8, 9 and 25
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Answer:
(i)
12 = 2×2×3.
15 = 3×5.
21 = 3×7.
LCM = 3×2×2×5×7 = 420.
HCF = 3.
(ii)
17 = 1×17.
23 = 1×23.
29 = 1×29.
LCM = 11339.
HCF = 1.
(iii)
8 = 2×2×2.
9 = 3×3.
25 = 5×5.
LCM = 1800.
HCF = 1.
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