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Question -

Find the LCM and HCF of the following integersby applying the prime factorisation method.



Answer -

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

 

 

Q (i)     12,15 and 21

Solutions:

(i) 12, 15 and 21

We will get the product of its prime factor

12=2×2×3

15=5×3

21=7×3

Therefore,

HCF(12,15,21) = 3

LCM(12,15,21) = 2 × 2 × 3 × 5 × 7 = 420

 

 

 

Q (ii)    17,23 and 29

 (ii)17, 23 and 29

We will get the product of its prime factor

17=17×1

23=23×1

29=29×1

Therefore,

HCF(17,23,29) = 1

LCM(17,23,29) = 17 × 23 × 29 = 11339

 

Q (iii)   8, 9 and 25

 (iii)8, 9 and 25

We will get the product of its prime factor

8=2×2×2×1

9=3×3×1

25=5×5×1

Therefore,

HCF(8,9,25)=1

LCM(8,9,25) = 2×2×2×3×3×5×5 = 1800

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