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Q.

The LCM and HCF of 12, 15 and 21 by using prime factorization method is:


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a

L.C.M = 210 and H.C.F = 5

b

L.C.M = 420 and H.C.F = 3

c

L.C.M = 230 and H.C.F = 4

d

L.C.M = 450 and H.C.F = 7 

answer is B.

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Detailed Solution

Given 3 numbers 12, 15 and 21.
Prime factorization of given numbers is,
Question ImagePrime factors are,
12=2×2×3 15=3×5 21=3×7   The L.C.M is,
2×2×3×5×7  
  420
The H.C.F is 3.
Therefore, L.C.M is 420 and H.C.F is 3.
Hence, option 2 is correct.
 
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The LCM and HCF of 12, 15 and 21 by using prime factorization method is: