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If the product of two numbers is 1050 and their $\mathrm{HCF}$ is 25 , find their LCM.
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We know that,
Product of two numbers $=\mathrm{HCF} \times \mathrm{LCM} \ldots .(1)$
Given : Product of two numbers $=1050$ and $\mathrm{HCF}=25$
From equation (1), we have
$1050=25 \times \mathrm{LCM}$
$\Rightarrow \mathrm{LCM}=\frac{1050}{25}=42$
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