Question

Lcm of 1,2,12,30,84,165

Answer 1

Answer:

$LCM(1,2,12,30,84,165)=2^2*3*5*7*11*1=4620$

Step-by-step explanation:

To find the LCM of 1,2,12,30,84,165 you must first find the prime factors of 12,30,84 and 165

12| 2               30| 2             84| 2                   165| 3

6 | 2               15 | 3             42| 2                   55 | 5

3 | 3                5 | 5              21 | 3                   11 | 11

1                       1                   7 | 7                     1

                                            1

$12=2^2*3$     $30=2*3*5$       $84=2^2*3*7$         $165=3*5*11$

Now we look for common and uncommon factors with their greatest exponent

LCM(1,2,12,30,84,165)

Common factors with their greatest exponent: $2^2*3*5$

Uncommon factors with their greatest exponent: $7*11*1$

$LCM(1,2,12,30,84,165)=2^2*3*5*7*11*1=4620$