To find the other number when we know the LCM (Least Common Multiple), HCF (Highest Common Factor), and one of the numbers, we can use the relationship between these three values. The formula that connects them is:
LCM × HCF = Number1 × Number2
In this scenario, we know:
- LCM = 48
- HCF = 8
- Number1 = 16
We are trying to find Number2. Plugging in the known values into the formula gives us:
48 × 8 = 16 × Number2
Calculating the left-hand side:
48 × 8 = 384
This results in:
384 = 16 × Number2
Now, to isolate Number2, we can divide both sides of the equation by 16:
Number2 = 384 ÷ 16
Calculating this gives:
Number2 = 24
Thus, the other number is 24.