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Q.

Find the LCM and HCF of the following integers by applying the prime factorisation method 24, 15, 36


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a

5 and 365

b

4 and 367

c

3 and 360

d

6 and 366 

answer is C.

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Detailed Solution

We are given to find the LCM and HCF of the following integers by applying the prime factorisation method 24, 15, 36.
First, we have to 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.
24=2×3×2×2 15=5×3 36=3×2×3×2  
To find the LCM, take the greatest power of each prime factor involved in the numbers, with the highest power and find their product.
So, the HCF and LCM of 24, 15 and 36 are 3 and 360 respectively.
Hence, option 3 is correct.
 
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