Question

LCM of 60,75,120 by common division method

Answer 1

ok it's solution is below

Step-by-step explanation:

Calculate Least Common Multiple for :

60, 75 and 120

Factorize of the above numbers :

60 = 22 • 3 • 5

75 = 3 • 52

120 = 23 • 3 • 5

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

60 Number

75 Number

120 L.C.M

(max)

2 2 0 3 3

3 1 1 1 1

5 1 2 1 2

LCM = 23 • 3 • 52

Least Common Multiple is :

600