Question

The lcm of a pair of numbers is 108 if the product of the numbers is 1994 what is the hcm for of the numbers

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is 18.5

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$\huge\sf\blue{Given}$

✭ LCM of 2 numbers = 108

✭Product of 2 Numbers = 1994

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$\huge\sf\gray{To \:Find}$

➢ HCF of the numbers?

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$\huge\sf\purple{Steps}$

We know that,

$\underline{\boxed{\sf HCF×LCM = Product \ of \ 2 \ numbers}}$

Substituting the given values,

➝ $\sf HCF × LCM = Product \ of \ 2 \ Numbers$

➝ $\sf HCF × 108 = 1994$

➝ $\sf HCF = \frac{1994}{108}$

➝ $\sf\orange{HCF = 18.5(approx)}$

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Answer 2

Correct Question -

The lcm of a pair of numbers is 108 if the product of the numbers is 1944 what is the hcm for of the numbers .

In th above Question , the following information is given -

The LCM of a pair of numbers is 108 .

The product of these numbers is 1944 .

To find -

Find the HCF of th numbers .

Concept Used :

HCF and LCM

Solution -

The LCM of a pair of numbers is 108 .

The product of these numbers is 1944 .

Let us assume that the required numbers are and b respectively .

Now ,

We know that -

For any two numbers -

LCM × HCF = Product of Numbers .

=> 108 × HCF = 1944

=> HCF = { 1944 / 108 }

=> HCF = 18 .

Thus , the required HCF of the numbers is 18 .

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