Two numbers are in ratio 4 : 5 and their HCF is 13. Their LCM is: 

Let the two numbers be 4x and 5x respectively.

The HCF of 4x and 5x is x.

⇒ x = 13

We know that,

Product of two numbers x and y = LCM(x, y) × HCF(x, y)

⇒ 4 × 13 × 5 × 13 = LCM × 13

⇒ LCM = 260

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