Amcat

Question

What is the LCM of 147/64 and 30/44?

Answer 1

LCM of two Fractions is LCM of Numerators divided by GCD of Denominators.

LCM of 147 and 30 is 1470

GCD of 64 and 44 is 4

So final Answer is 1470/4 = 735/2.

 

tell me If I am wrong.

Comments

Just to add..

$147=3*7^{2}=2^{0}*3*5^{0}*7^{2}$
$30=2*3*5=2*3*5*7^{0}$

$64=2^{6}*11^{0}$

$44=2^{2}*11$

$LCM(147,30)=2^{max(0,1)}*3^{max(1,1)}*5^{max(0,1)}*7^{max(0,2)}$

$=2^{1}*3^{1}*5^{1}*7^{2}$

$=1470$

$GCD(64,44)=2^{min(6,2)}*11^{max(0,1)}$

$=2^{2}*11^{0}$

$=4$