Calculate the Least Common Multiple or LCM of 255 and 867
Sponsors
The instructions to find the LCM of 255 and 867 are the next:
1. Decompose all numbers into prime factors
255 | 3 |
85 | 5 |
17 | 17 |
1 |
867 | 3 |
289 | 17 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 255 | = | 3 . 5 . 17 |
Prime factors of 867 | = | 3 . 172 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 3 , 17
Common prime factors with the greatest exponent: 31, 172
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 51
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 31. 172. 51 = 4335
Also calculates the: