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?

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) (Show Source): You can put this solution on YOUR website!
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
.
The way I calculated it was including all prime factors from the prime factorizations of 10, 12, 15, & 16:

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