123456
of 6

Least Common Multiple (LCM)

Here's another one:

Find LCM( 12 , 45 )

12 = ( 2^3 ) x 3 ... 45 = ( 3^2 ) x ( 5 )
 

LCM( 12 , 45 ) = 2^2 x 3^2 x 5 = 180
 


One more:

Find    LCM( 140 , 900 , 3000 )


140 = 2^2 x 5 x 7 ... 900 = 2^2 x 3^2 x 5^2 ... 3000 = 2^3 x 3 x 5^3 ... 2^3 , 3^2 , 5^3 , 7

 

 LCM( 140 , 900 , 3000 ) = 2^3 x 3^2 x 5^3 x 7 = 63,000