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
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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Solution :
i) 12,15 and 21
12=2×2×3
15=5×3
21=7×3
From the above ,HCF(12,15,21)=3and LCM(12,15,21)=420
ii)17,23,and 29
17=17×1
23=23×1
29=29×1
From the above ,HCF(17,23,29)=1and LCM(17,23,29)=11339
iii)8,9 and 25
8=2×2×2
9=3×3
25=5×5
From the above ,HCF(8,9,25)=1and LCM(8,9,25)=1800
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