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Given: Ratio of two numbers = 7 : 8 And the LCM of two numbers = 280 Concept used: L.C.M means The Least Common Multiple of two numbers is the “smallest non-zero common number” which is a multiple of both the numbers. Calculation: Let the numbers be 7k and 8k. Then, LCM of 7k and 8k = 7 × 8 × k ⇒ 56k = 280 ⇒ k = 5 So, Smaller number = 7k ⇒ 7 × 5 ⇒ 35 ∴ The smaller number is 35. India’s #1 Learning Platform Start Complete Exam Preparation
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