Mathematics: Product of two natural numbers p and q is 590 and their hcf is 59. how many set of values of p and q is possible

Product of two natural numbers p and q is 590 and

Ответ:

jacksonsmith0

12.03.2022

$\text{Let the product of two natural numbers p and q is 590, and their HCF is 59}\\
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\text{we know that the product of LCM and HCF of any two numbers is equal}\\
\text{to the product of the numbers. that is}\\
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\text{HCF}\times \text{ LCM}=p\times q\\
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\Rightarrow 59 \times \text{LCM}=590\\
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\Rightarrow \text{LCM}=\frac{590}{59}\\
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\Rightarrow \text{LCM}=10\\
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\text{for any two natural numbers, their Least Common Multiple (LCM) is always}$