The numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 69
Three numbers are in the proportion of 3 : 8 : 15.
Let the numbers be 3x, 8x, and 15x.
Here, x is their HCF.
LCM of 3x, 8x, and 15x = 120x
According to the question -
120x = 8280
x = 8280/120 = 69
Thus, the HCF of the numbers is 69.