Math, 18.10.2019 10:00, Firdaus17f

Find hcf and lcm of 404 and 96 and verify that hcf x lcm product of the two given number

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The correct answer was given: suchitrapawan

Plz mark it as brainliest....
Find hcf and lcm of 404 and 96 and verify that hcf x lcm product of the two given number

The correct answer was given: yogeshsahu40

Hope it will help you...
Find hcf and lcm of 404 and 96 and verify that hcf x lcm product of the two given number

The correct answer was given: Vanshikachilkoti10

404x96=38784

The correct answer was given: Firdaus17f

HCF × LCM =Product of two Number=38784 is verified.

Step-by-step explanation:

Given : Two numbers 404 and 96

To verify : HCF × LCM =Product of two Number

Solution : First we find the HCF and LCM of the numbers

Factor of 404 and 96

$404=2\times2\times101$

$96=2\times2\times2\times2\times2\times3$

HCF is highest common factor

So, HCF of 404 and 96 is $2\times2=4$

LCM is the least common factor

So, LCM of 404 and 96 is

$101\times2\times2\times2\times2\times2\times3=9696$

HCF = 4 and LCM= 9696

Multiplication of HCF and LCM= $9696\times4=38784$

Product of two numbers = $404\times96=38784$

Therefore, HCF × LCM =Product of two Number=38784 is verified.

The correct answer was given: sahini99

helo maTE your answer is in above statement:-

HOPE u will understand it....

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Find hcf and lcm of 404 and 96 and verify that hcf x lcm = product of thetwo given numbers

The correct answer was given: sabina3193

plz marked in brainliest

The correct answer was given: suchitrapawan

Step-by-step explanation:

404 =

${2}^{2} \times 101$

96 =

${2}^{5} \times 3$

HCF = 2^2 = 4

LCM = 2^5*3*101 = 9696

404*96 = 38784

4*9696 = 38784

hence verified

The correct answer was given: alikarki2580

Step-by-step explanation:

Here, 404 = 2 × 2 × 101

And 96 = 2 × 2 × 2 × 2 × 2 × 3

Common factors = 2 × 2

Therefore, HCF of 404 and 96 = 2 × 2 = 4

LCM of 404 and 96 = 2 × 2 × 2 × 2 × 2 × 3 × 101 = 9696

Now, HCF × LCM = 4 × 9696 = 38784

And product of the two numbers = 404 × 96 = 38784

Hence, it is verified. HCF × LCM = Product of 404 and 96.

The correct answer was given: mohit81281

answer :-

LCM of 404 and 96 :

$\begin{array}{r|l}2 & 404,96 \\\cline{1-2} 2 & 202,48 \\\cline{1-2} 101 &101,24 \\\cline{1-2} 2 & 1,24\\\cline{1-2} 2 & 1,12 \\\cline{1-2}2 & 1,6 \\\cline{1-2}3 & 1,3 \\\cline{1-2} & 1,1 \end{array}$

LCM = 2 × 2 × 101 × 2 × 2 × 2 × 3

$\implies$ 9696

$\boxed{\sf{\red{LCM = 9696}}}$

HCF of 404 and 96 :

Prime Factorization of 404

$\begin{array}{r|l} 2 & 404 \\\cline{1-2} 2 & 202 \\\cline{1-2} 101 & 101\\ \cline{1-2} & 1\end{array}$

Prime Factorization of 96

$\begin{array}{r|l} 2 & 96 \\\cline{1-2} 2 & 48 \\\cline{1-2} 2 & 24 \\ \cline{1-2} 2 & 12 \\\cline{1-2} 2 & 6\\\cline{1-2} 3&3 \\\cline{1-2} & 1\end{array}$