find lcm and hcf of 321,396 using prime factorization method
Answers
LCM of 321 and 396 is 42372
HCF of 321 and 396 is 3
Solution:
FIND LCM OF 321 , 396
List all prime factors for each number.
Prime Factorization of 321 is: 3 x 107
Prime Factorization of 396 is: 2 x 2 x 3 x 3 x 11
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3, 3, 11, 107
Multiply these factors together to find the LCM
LCM = 2 x 2 x 3 x 3 x 11 x 107 = 42372
Thus LCM of 321 and 396 is 42372
FIND HCF OF 321 , 396
The factors of 321 are: 1, 3, 107, 321
The factors of 396 are: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Then the greatest common factor is 3
Thus HCF of 321 and 396 is 3
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