Question

the least common multiple of four numbers is 720 if three numbers are 16,10,40 then fourth number is

Answer 1

Answer

The fourth number is 9

Solution

The least common multiple (LCM) of four numbers is 720

if three numbers are 16,10,40,

we have to find the fourth number, let the fourth number be  x

first we have to find the LCM of 16,10,40

LCM(16,10,40) = 80

then LCM(80,x) =720

therefore  x= 720/80 = 9

LCM(6,10,40,9) = 720

Therefore the fourth number is 9