Question

2. Find the LCM and HCF of the following integers by the prime factorization method.
(i) 12, 15 and 21 (ii) 17,23, and 29 (ii) 8.9 and 25
(iv) 72 and 108 (v) 306 and 657
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Answer 1

Answer:

i) LCM=420 ; HCF=3

ii)LCM=11,339 ; HCF=1

iii)LCM=1800 ; HCF=1

iv)LCM=216 ; HCF=36

v)LCM=22,338 ; HCF=9

Answer 2

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Using prime factorisation method:

(i) 12, 15 and 21

Factor of 12=2×2×3

Factor of 15=3×5

Factor of 21=3×7

HCF (12,15,21)=3

LCM (12,15,21)=2×2×3×5×7=420

(ii) 17, 23 and 29

Factor of 17=1×17

Factor of 23=1×23

Factor of 29=1×29

HCF (17,23,29)=1

LCM (17,23,29)=1×17×23×29=11,339

(iii) 8, 9 and 25

Factor of 8=2×2×2×1

Factor of 9=3×3×1

Factor of 25=5×5×1

HCF (8,9,25)=1

LCM (8,9,25)=2×2×2×3×3×5×5=1,800