Question

Find the LCM and HCF of 8,9 and 25by prime facterisation method.​

Answer 1

LCM and HCF of 8,9,and,25

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By prime factorisation method

$8 = 2 \times 2 \times 2 \times1\\ \\ 9 = 3 \times 3 \times 1\\ \\ 25 = 5 \times 5 \times 1$

HCF= common term in all factors.

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So HCF will be (1)

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LCM= Other numbers than common number.

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So LCM will be

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$2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5 = 1800$

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Answer 2

8=2x2x2x1

9=3x3x1

25=5x5x1

So these all have 1 as the highest factor in common.
So the HCF of these no. is one.



Now LCM is
2x2x2x3x3x5x5x1=1800

Hence the LCM of these nos. is 1800.


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