Question

Find lcm of 120,180,240

Answer 1

2(60,90,120)
2(30,45,60)
2(15,45,30)
2(15,45,15)
3(5,15,5)
3(5,5,5)
5(1,1,1)


lcm=2*2*2*2*3*3*5.=16*45=720...

Answer 2

Prime factorization of 120 = 2³ * 3⁵

Prime factorization of 180 = 2² * 3² * 5

Prime factorization of 240 = 2⁴ * 3 * 5

LCM(120,180,240) = 2⁴ * 3² * 5

                              = 720.

Hope it helps!