Example 4
Walkthrough 1
Find the lowest common multiple and the highest common factor of 6 and 9.
Summary
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
Multiples of 9: 9, 18, 27, 36, ....
LCM = 18
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
HCF = 3
Students are lining up in order.
Every 3rd student is female.
Every 8th student is wearing a green jumper.
In which position will the first female wearing a green jumper stand?
Position
To solve this problem, we need to find the position where the conditions of being female and wearing a green jumper intersect.
We can start by finding the positions of students who are female and those who are wearing a green jumper separately, and then find the first position where these conditions intersect.
To find the positions of students who are female, we need to find the multiples of 3. The positions would be: 3, 6, 9, 12, 15, ...
To find the positions of students who are wearing a green jumper, we need to find the multiples of 8. The positions would be: 8, 16, 24, 32, ...
We can see that the first position where the conditions intersect is at position 24. Therefore, the first female wearing a green jumper will stand at position 24.