. Using Prime factorization find the HCF and LCM of


Best Answer

Explanation:

Factors of 12 = 2 x 2 x 3

Factors of 15 = 3 x 5

Factors of 21 = 3 x 7

Prime factorization

The highest number that divides the numbers 12,15,21 exactly, is known as their highest common factor.

We can clearly observe that 12,15,21 have a single common prime factor, that is 3. 

HCF of 12,15,21 = 3

The LCM(Lowest common multiple) of 12,15,21:

3 12,15,21
4 4,5,7
5 1,5,7
7 1,1,7
  1,1,1

LCM of 12,15,21 = 3 x 4 x 5 x 7 = 420

Final Answer: 

HCF of 12,15,21 = 3

LCM of 12,15,21 = 420

 

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