LCM of 10 25 15 5 12 17 80
hcf of 14 25 43
Answers
Answer:
20,400
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 5 shows:
5 is prime => 51
Prime Factorization of 10 is:
2 x 5 => 21 x 51
Prime Factorization of 12 is:
2 x 2 x 3 => 22 x 31
Prime Factorization of 15 is:
3 x 5 => 31 x 51
Prime Factorization of 17 shows:
17 is prime => 171
Prime Factorization of 25 is:
5 x 5 => 52
Prime Factorization of 80 is:
2 x 2 x 2 x 2 x 5 => 24 x 51
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, 2, 2, 3, 5, 5, 17
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 = 20400
In exponential form:
LCM = 24 x 31 x 52 x 171 = 20400
LCM = 20400
Therefore,
LCM(5, 10, 12, 15, 17, 25, 80) = 20,400
LCM ans is 10
HCF ans is 15