Two numbers are in the ratio 2:3
and their HCF is 13. Find the LCM of those two numbers.
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Answer:
Let the two numbers be 4x and 5x respectively.
The HCF of 2x and 3x is x.
⇒ x = 13
We know that,
Product of two numbers x and y = LCM(x, y) × HCF(x, y)
⇒ 2 × 13 × 3 × 13 = LCM × 13
⇒ LCM = 78
∴ LCM = 78
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