Math, asked by shruti7231, 6 months ago

Product of the two numbers is 2400 and their hcf is 20 find their lcm

Answers

Answered by aditiyadav02
15

Answer:

Lcm = 120

Step-by-step explanation:

Hcf * Lcm = Product of numbers

20 * Lcm = 2400

Lcm = 2400 / 20

Lcm = 120

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Answered by ritikkumar269
3

Answer:

The LCM of both numbers is equal to 120.

Step-by-step explanation:

Given:

  • The product of the two numbers =2400
  • Highest common factor (HCF) =20

We have to find the Lowest Common Multiple of both numbers.

As we know that the product of two numbers is equal to the product of their HCF and LCM.

Product of two numbers $=\mathrm{HCF} \times \mathrm{LCM}$

$$\begin{aligned}&\Rightarrow 2400=\mathrm{LCM} \times 20 \\&\Rightarrow \mathrm{LCM}=2400 / 20 \\&\Rightarrow \mathrm{LCM}=120\end{aligned}$$

Therefore, the Lowest Common Multiple (LCM) of both the numbers is 120.

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