Two numbers are in the ratio $4 : 5$ and their HCF is 11. Find the LCM of these numbers.

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Step 1: Let the two numbers be $4x$ and $5x$ where $x$ is common factor. Now HCF $= 11$, $	herefore x = 11$. Numbers are 44 and 55.
Step 2: $	ext{LCM}(44, 55) = \frac{44 	imes 55}{11} = 220$

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