1.what are the prime factor of 120? 2.what is least common multiply of 12 and 60? 3.what least common multiply LCM of 2,3and4?

Question

1.what are the prime factor of 120?
2.what is least common multiply of 12 and 60?
3.what least common multiply LCM of 2,3and4?

Answer 1

120 = 2 x 60

 

= 2 x 2 x 30

 

= 2 x 2 x 2 x 15

 

= 2 x 2 x 2 x 3 x 5

 

To find the LCM of 12 and 60, write out the prime factorization of each and determine the greatest number of times that each prime factor appears in the prime factorization of either 12 or 60.

 

12 = 2 x 6 = 2 x 2 x 3

 

60 = 2 x 30 = 2 x 2 x 15 = 2 x 2 x 3 x 5

 

The LCM is the product of 2 x 2 x 3 x 5 = 60

 

To find the LCM of 2, 3, and 4 use the same approach as we did above:

 

2 = 2 x 1

 

3 = 3 x 1

 

4 = 2 x 2

 

The LCM would be 2 x 2 x 3 = 12

 

Answer 2

.             120

             2 x 60

           2 x 2 x 30

         2 x 2 x 2 x 15

       2 x 2 x 2 x 3 x 5

 

The bottom row is the prime factors

 

2). The least common multiple of two

numbers is the smallest number

they both divide evenly into.

12(5) = 60, (60)(1) = 60

 

The LCM of 12 and 60 is 60

 

3). What is the smallest number

     2, 3, 4 all divide into?

 

2, 4, 6, 8, 10, 12

3, 6, 9, 12

4, 8, 12

 

The LCM is 12