. 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
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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