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Two numbers are in ratio 4 : 5 and their HCF is 13. Their LCM is:
- A260
- B52
- C65
- D265
Answer not set
Discussion 1
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CCommunity
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
∴ LCM = 260
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
∴ LCM = 260