Question

find the LCM and HCF of the following integers by the prime factorization method 1)17,23 and 29??​

Answer 1

Answer:

17

$17 = 17 \\ 23 = 23 \\ 29 = 29$

$hcf(17 || 23 || 29) = 1$

$lcm \: (17 \: 23 \: 29) \: = 17 \times 23 \times 29 \\ = 1139$

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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