The HCF and LCM of two numbers are 15 an

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

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?

Options:

120

150

100

Correct Answer:

Explanation:

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