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Product of Two Numbers = HCF X LCM of the Two Numbers

The HCF of tw...

Question

The HCF of two numbers is 18 and their product is 12960. Find their LCM.

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Solution

HCF of two numbers = 18
Product of two numbers = 12960
Let their LCM be x.

Using the formula, Product of two numbers = HCF × LCM
we conclude that

12960 = 18 × x
x = $\frac{12960}{18}$
= 720

Hence, their LCM is 720.

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