The ratio of two numbers is 5:6, and their LCM is 480; then their HCF is?
- 12
- 16
- 96
- None of these
Explanation
Let the two numbers be 5x and 6x, where x is their HCF.
Step 1: Calculate the LCM
The LCM of 5x and 6x is 30x.
Step 2: Find x
Given that the LCM is 480, we can set up the equation:
30x = 480
x = 480 / 30
x = 16
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