Three numbers are in the ratio 4 : 9 : 13 and their LCM is 2340. Their HCF is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 5
Three numbers are in the ratio 4 : 9 : 13 and their LCM is 2340.
LCM is the smallest common multiple of two or more numbers.
HCF is the largest number or quantity that is a factor of each member of a group of numbers.
Let the HCF of the numbers be H.
So, the three numbers are 4H, 9H, and 13H.
According to the question -
LCM (4H, 9H, 13H) = 2340
(4 × 9 × 13)H = 2340
468H = 2340
H = 2340/468
H = 5