Question

Lcm of 48 64 72 96 108

Answer 1

Answer:

LCM of 48, 64, 72, 96 and 108 is 1728

Step-by-step explanation:

Lcm of 48 64 72 96 108

First we find factor of each number

$48=2\times 2\times 2\times 2\times 3\Rightarrow 2^4\times 3$

$64=2\times2\times2\times2\times2\times2\Rightarrow 2^6$

$72=2\times2\times2\times3\times3\Rightarrow 2^3\times 3^2$

$96=2\times2\times 2\times 2\times 2\times 3\Rightarrow 2^5\times 3$

$108=2\times2\times3\times3\times3\Rightarrow 2^2\times 3^3$

We can see each factor has only 2 and 3 prime number

For LCM we will choose maximum power of 2 and 3

$LCM=2^6\times 3^3\Rightarrow$

Thus, LCM of 48, 64, 72, 96 and 108 is 1728

Answer 2

Answer:

LCM of 48, 64, 72, 96, 108 is 1728.    

Step-by-step explanation:

Given : Numbers 48, 64, 72, 96, 108.

To find : The LCM of the numbers?

Solution :

LCM is the least common factor.

So, We divide each number by lowest prime factor.

2 | 48   64   72   96   108

2 | 24   32   36   48   54

2 | 12    16    18    24   27

2 | 6     8      9     12    27

2 | 3     4      9     6    27

2 | 3     2      9     3    27

3 | 3     1      9      3    27

3 | 1     1       3      1     9

3 | 1     1        1      1     3

  | 1     1        1       1     1

$LCM(48, 64, 72, 96, 108)=2\times 2\times2\times 2\times2\times 2\times3\times 3\times3$

$LCM(48, 64, 72, 96, 108)=1728$

Therefore, LCM of 48, 64, 72, 96, 108 is 1728.