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What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed amoung 6, 7 or 8 persons?

What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed amoung 6, 7 or 8 persons? Correct Answer 72

Since the apples need to be divided equally among 6, 7 or 8 people, first we calculate their LCM. 2/(6,7,8) = 3, 7, 4 :. LCM of 6, 7 or 8 = 2x3x7x4 = 168 The division produces a reminder 96. To make this remainder 0, the minimum no. of apples that must be added = 168 - 96 = 72 Answer : 72

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