Q8) Find the HCF and LCM for each set of numbers by using the
prime factorization method.
c) 270,330
Answers
Answer:
LCM = 2970
HCF = 30
Step-by-step explanation:
LCM
Prime Factorization of 270 is:
2 x 3 x 3 x 3 x 5 => 2^1 x 3^3 x 5^1
Prime Factorization of 330 is:
2 x 3 x 5 x 11 => 2^1 x 3^1 x 5^1 x 11^1
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, 3, 3, 3, 5, 11
Multiply these factors together to find the LCM.
LCM = 2 x 3 x 3 x 3 x 5 x 11 = 2970
In exponential form:
LCM = 2^1 x 3^3 x 5^1 x 11^1 = 2970
LCM = 2970
Therefore,
LCM(270, 330) = 2970
HCF
Answer:
HCF = 30
for the values 270, 330
Solution by Factorization:
The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The factors of 330 are: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Then the greatest common factor is 30.