Find two pairs of numbers with 10 as their least common multiple

1, 10

2. 5

2,5. LCM = 10.

5,10. LCM = 10.

To find two pairs of numbers with 10 as their least common multiple, we need to find two sets of numbers where each pair has a multiple of 10 that is the same or smaller than any other common multiple.

Pair 1:
Let's choose the numbers 5 and 10.

To find their least common multiple (LCM), we can list the multiples of 5 and 10 and find the smallest common multiple:
Multiples of 5: 5, 10, 15, 20, 25, ...
Multiples of 10: 10, 20, 30, 40, 50, ...

We can see that the smallest common multiple is 10.

Pair 2:
Let's choose the numbers 2 and 5.

To find their least common multiple (LCM), we can list the multiples of 2 and 5 and find the smallest common multiple:
Multiples of 2: 2, 4, 6, 8, 10, ...
Multiples of 5: 5, 10, 15, 20, 25, ...

Again, we can see that the smallest common multiple is 10.

So, two pairs of numbers with 10 as their least common multiple are (5, 10) and (2, 5).

To find two pairs of numbers with 10 as their least common multiple, we have to look for numbers that are divisible by 10.

Pair 1: 10 and 20
The least common multiple of 10 and 20 is 20 because it is the smallest number that is divisible by both 10 and 20.

Pair 2: 5 and 10
The least common multiple of 5 and 10 is also 10 because it is the smallest number that is divisible by both 5 and 10.

In both cases, the least common multiple is 10.