The HCF and LCM of two numbers are 15 and 900 respectively and the two numbers are in ratio 5 : 3. Find the small number?
Answer & explanation
Correct answer: option 3
LCM = HCF × (product of two other factors)
Ratio of numbers is =5 : 3 (other factors)
ATQ,
900 = 15 × (5R × 3R)
60 = 5R × 3R
R2 = 4 ⇒ R = 2
Hence, Smallest number = 15 × 3R = 45 × 2 = 90