Question

Certain number of fruit can be arranged in the group of numbers 3,4,6 or 8 with no fruit left behind. Find the number of fruits?

Answer 1

The lowest number of fruits will be their LCM

LCM of 3,4,6 and 8 is 24

So the number of fruits will be either 24 or a multiple of 24

Answer 2

Given : number of people that can be arranged in groups of 3, 4, 6 or 8

with none left behind.

To Find : least number of people

Solution:

To Find the  least number of people that can be arranged in groups of 3, 4, 6 or 8  with none left behind

We need to find LCM of 3 , 4 , 6 and 8  

3 = 3 * 1

4 = 2 * 2

6 = 2 * 3

8 = 2 * 2 * 2

LCM = 2 * 2 * 2 * 3  = 24

24 is least number of people that can be arranged in groups of 3, 4, 6 or 8

with none left behind.

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