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Question

I have 20 oranges. What is the least number of oranges I need to take such that I can divide the oranges into groups of 6 or groups of 9 without leftovers?

A
12
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B
15
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C
18
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D
9
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Solution

The correct option is C 18
To find the least number of oranges I must find the LCM of the given numbers 6 and 9.

36,92,3

Since there are no common factors for 2 and 3 we cannot factorise it further.

Hence, the LCM of 6 and 9
= 3 × 2 × 3 = 18

We can pick a total of 18 oranges to divide them in groups of either 6 or 9 without leftovers.

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