Question

find the HCF of 96 and 404 by prime factorization method hence find their LCM ​

Answer 1

$\bold\red{Solution}$

We have,

$96 = {2}^{2} \times 3 \\ and \: 404 = {2}^{2} \times 101$

Now, HCF × LCM = 96×404

==>>

$lcm = \frac{96 \times 40}{hcf} \\ = \frac{96 \times 404}{4} \\ = 96 \times 101 \\ = 9696$

$\red{Hope\:it\:helps}$

Answer 2

${\huge{\red{\mathfrak{answer}}}}$

96=4 ×3

404 = 4 ×101

HCF × LCM = 96 × 404

$\begin{lgathered}lcm = \frac{96 \times 40}{hcf} \\ = \frac{96 \times 404}{4} \\ = 96 \times 101 \\ = 9696\end{lgathered}$

96×40 = 4

96×404

=96×101

=9696

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