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The ratio of two numbers is 5 : 7 and their HCF is 3. Their LCM is:
75
105
125
35
- We know the two numbers are in the ratio of 5:7.
- Let these numbers be 5x and 7x.
- The HCF (Highest Common Factor) is given as 3.
- Thus, x = 3.
- Hence, the numbers are 15 (5x = 5*3) and 21 (7x = 7*3).
- The LCM (Least Common Multiple) of two numbers is calculated using the formula: LCM × HCF = Product of the numbers.
- The product of the numbers is 15 * 21 = 315.
- Therefore, LCM = 315 / 3 = 105.
Correct Answer: Option 2: 105
- Option 1: 75 - Incorrect, doesn't satisfy calculations.
- Option 3: 125 - Incorrect, doesn't satisfy calculations.
- Option 4: 35 - Incorrect, doesn't satisfy calculations.
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