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Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is

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Let the number be 3x and 4x.

LCM of 3x and 4x = 3 × 4 × x = 240.

⇒ 12x = 240.

⇒ x = 20.

∴ the smaller number = 3(20) = 60