Question

find the lcm by prime factorization 14,21,12​

Answer 1

Answer:

84

Calculate Least Common Multiple for :

12, 14 and 21

Factorize of the above numbers :

12 = 22 • 3

14 = 2 • 7

21 = 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

12 Number

14 Number

21 L.C.M

(max)

2 2 1 0 2

3 1 0 1 1

7 0 1 1 1

LCM = 22 • 3 • 7

Least Common Multiple is :

84

Answer 2

Answer:

2| 14 21 12

2| 7 21 6

2| 7 21 3

3| 7 7 1

7| 1 1 1

therefore: lcm = 42

picking one of each number