Piolo is an athlete. He swims every 6 days , runs every 4 days and cycle every 16 days if he had all three activities together in how many days will he do all three activities again on the same day?
A. What is asked
B. Show the solution
C. Answer
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Answer:
a. LCM
c. 32
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 4 is:
2 x 2 => 22
Prime Factorization of 6 is:
2 x 3 => 21 x 31
Prime Factorization of 16 is:
2 x 2 x 2 x 2 => 24
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
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 2 x 3 = 48
In exponential form:
LCM = 24 x 31 = 48
LCM = 48