Find LCM and HCF of the following integers by using the prime factorisation method:8, 9 and 25.

Given :

The given numbers are 8, 9 and 25.

To find :

We have to find LCM and HCF of the given numbers by using the prime factorisation method.

Solution :

Prime factorisation of $8 = 2\times 2\times 2 = 2^3$

Prime factorisation of $9 = 3\times 3 = 3^2$

Prime factorisation of $25 = 5\times 5 = 5^2$

HCF $=$ Product of smaller power of each common prime factor.

There is no common prime factor.

Therefore, HCF $= 1 $.

LCM $=$ Product of highest power of each prime factor.

LCM $= 2^3 \times 3^2 \times 5^2$

         $= 8 \times 9 \times 25 $

LCM $= 1800$

Therefore, HCF of 8,9,25 is 1 and LCM of 8,9,25 is 1800.   

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Updated on: 10-Oct-2022

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