Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2340.
LCM × HCF = a × b
where a and b are the two numbers
First number = 13 × 12
Second number = 15 × 12
According to the question;
⇒ LCM × 12 = 13 × 12 × 15 × 12
⇒ LCM = 13 × 12 × 15
⇒ LCM = 2340