The ratio of two numbers is 5 : 6 and their HCF is 8. What is the LCM of these numbers? Option 1: 180 Option 2: 240 Option 3: 280 Option 4: 140

Answer: 240. Solution: The numbers are 5 x 8 = 40 and 6 x 8 = 48. LCM of 40 and 48: 40 = 2^3 x 5, 48 = 2^4 x 3. LCM = 2^4 x 3 x 5 = 240.

Quantitative Reasoning

Number System

Medium

The ratio of two numbers is 5 : 6 and their HCF is 8. What is the LCM of these numbers?

180

240

280

140

✅ Correct Option: 2

The numbers are $5 \times 8 = 40$ and $6 \times 8 = 48$ . LCM of 40 and 48: $40 = 2^3 \times 5$ , $48 = 2^4 \times 3$ . LCM = $2^4 \times 3 \times 5 = 240$ .

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The ratio of two numbers is 5 : 6 and their HCF is 8. What is the LCM of these numbers?

Solution

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