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Question

The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM​

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Solution

Here, HCF = 3, ​

Product of the given numbers = 765​

Now, HCF x LCM = Product of the given numbers ​

∴ 3 x LCM = 765 ​

∴ LCM = 765/3 = 255​

∴ The LCM of the two two-digit numbers is 255.​


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