Question

Which of the following expressions represents the lcm of 15, 18, 25?

2 • 3 • 5

2 • 3^2 • 5^2

2 • 3^3 • 5^3

2 • 3^2 • 5^3

Answer 1

`15=\boxed{3}\cdot\boxed{5}\\\\18=2\cdot\boxed{3}\cdot3\\\\25=\boxed{5}\cdot5\\\\LCM(15;\ 18;\ 25)=2\cdot\boxed{3}\cdot3\cdot\boxed{5}\cdot5=2\cdot3^2\cdot5^2`