Find the HCF of 44 and 444 by the prime factorization method hence, find their LCM
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Answer:
HCF = 4
LCM = 4884
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Step-by-step explanation:
HCF
Answer:
HCF = 4
for the values 44, 444
Solution by Factorization:
The factors of 44 are: 1, 2, 4, 11, 22, 44
The factors of 444 are: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Then the greatest common factor is 4.
LCM
Answer:
LCM = 4884
Solution by Prime Factorization
List all prime factors for each number.
Prime Factorization of 44 is:
2 x 2 x 11 => 2^2 x 11^1
Prime Factorization of 444 is:
2 x 2 x 3 x 37 => 2^2 x 3^1 x 37^1
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, 2, 3, 11, 37
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 11 x 37 = 4884
In exponential form:
LCM = 2^2 x 3^1 x 11^1 x 37^1 = 4884
LCM = 4884
Therefore,
LCM(44, 444) = 4884
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