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, 15 and 21
12=2×2×3
15=3×5
21=3×7
HCF=3
LCM=2×2×3×5×7=420
ii)17, 23 and 29
17=17×1
23=23×1
29=29×1
HCF=1
LCM=17×23×29×1=11339
iii)8, 9 and 25
8=2×2×2×1
9=3×3×1
25=5×5×1
HCF=1
LCM=2×2×2×3×3×5×5×1=1800
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