A Yoga instructor wants to arrange students in rows with equal number of student...
A Yoga instructor wants to arrange students in rows with equal number of students in each row. If he arranges 8, 10, 14 or 16 students in each row, then four students are left in each case. On arranging 12 students in each row no student is left. What is the least possible value of total number of students in yoga class? Solution :

LCM of 8, 10, 14, 16 = 560
4 left out in each
Therefore 560 + 4
Which is perfectly divisible by 12 proving no students left when there is group of 12 students

Hence, the answer is 564 ​
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