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Page 2
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.
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