SOLUTION: the students of class 5,can be made to stand in lines in numbers 10,12,15&16.what should be the least number of students in the class?

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Question 825052: the students of class 5,can be made to stand in lines in numbers 10,12,15&16.what should be the least number of students in the class?
Answer by KMST(5328) About Me  (Show Source):
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If the students of class 5 can be made to stand in groups or lines of 10, 12, 15, & 16 the number of students in the class is a multiple of 10, 12, 15, & 16.
The least of those multiples is
LCM%2810%2C12%2C15%2C16%29=highlight%28240%29=15%2A16=10%2A24=12%2A20 .
The way I calculated it was including all prime factors from the prime factorizations of 10, 12, 15, & 16:
10=2%2A5
12=2%5E2%2A3
15=3%2A5
16=2%5E4
LCM%2810%2C12%2C15%2C16%29=2%5E4%2A3%2A5=%285%2A2%29%282%5E3%2A3%29=10%2A24=240