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Q.

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


84, 90, 120


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a

6 and 2527

b

 6 and 2520

c

6 and 2500

d

6 and 2525 

answer is B.

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Detailed Solution

We are given to find the numbers are 84, 90, 120 to find LCM and HCF.
In this type of question, first, find the prime factorisation of the given numbers.
Let us find the product of prime factors common in all the given numbers, and that becomes the HCF of the numbers.
84=2×2×7×3 90=3×3×5×5 120=3×2×2×5×2  
To find the LCM, take the greatest power of each prime factor involved in the numbers, with the highest power and find their product.
Thus, the HCF and LCM of 84, 90 and 120 are 6 and 2520 respectively.
Hence, the correct option is 2.
 
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