Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Option 1: 1780
Option 2: 2450
Option 3: 1890
Option 4: 2340
Correct Answer: 2340
Solution : HCF of two numbers = 12 Ratio of two numbers = 13 : 15 Let $13x$ and $15x$ be the two numbers. HCF of $13x$ and $15x = x$ $\therefore x =12$ LCM of $13x$ and $15x = 13×15×x = 13×15×12 = 2340$ Hence, the correct answer is 2340.
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