Question

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

Answer 1

Hello !!

For you answer this question, you only need make use of this method below.

Least common multiple.

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

_______________________

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 101

LCM = 2^5 × 3 × 101

LCM = 32 × 3 × 101

LCM = 96 × 101

LCM = 9696

Highest common factor.

$\begin{array}{r|l}404,96&2\\202,48&2\\101,24\end{array}$

____________________

HCF = 2 × 2

HCF = 4

Now, you find LCM × HCF.

LCM × HCF = 9696 × 4

LCM × HCF = 38784

Final result : 38784.

I hope I have collaborated !