Let n is the number of marbles. when marbles are equally shared among 6, 7 or 8 students, each time 4 marbles left over. To find the least number of marbles, first we find out what is the smallest number that can be divided to 6, 7 and 8. Now you see that 6 and 8 are divisible by 2 but 7 is non- divisible. if we take LCM of 6, 7 and 8 and find the smallest number. 2 I6,7,8 ------- 3,7,4 Now multiply 2,3,7 and 4 2 x 3 x7 x 4 = 168 each time 4 marbles left so least possible number of marbles in the box = 168 + 4 = 172
