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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? |
120 150 90 100 |
90 |
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 |
