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Q.

Find the HCF and LCM of 12,15 and 21 using prime factorization method.


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a

     1 and 1800

b

    3 and 420

c

    1 and 120

d

    2 and 180 

answer is B.

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Detailed Solution

Given,
The numbers are 12,15 and 21.
The product of prime factors of all three numbers are,
⇒12=2×2×3 ⇒15=5×3 ⇒21=7×3 ⇒HCF(12,15,21)=3 ⇒LCM(12,15,21)=2×2×3×5×7 ⇒LCM(12,15,21)=420  
Thus, the HCF is 3 and LCM is 420.
Therefore, option(2)     is correct answer.
 
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