Calculate the Least Common Multiple or LCM of 23, 69, 92 and 115
Sponsors
The instructions to find the LCM of 23, 69, 92 and 115 are the next:
1. Decompose all numbers into prime factors
| 23 | 23 |
| 1 |
| 69 | 3 |
| 23 | 23 |
| 1 |
| 92 | 2 |
| 46 | 2 |
| 23 | 23 |
| 1 |
| 115 | 5 |
| 23 | 23 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 23 | = | 23 |
| Prime factors of 69 | = | 3 . 23 |
| Prime factors of 92 | = | 22 . 23 |
| Prime factors of 115 | = | 5 . 23 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 23
Common prime factors with the greatest exponent: 231
Uncommon prime factors: 3 , 2 , 5
Uncommon prime factors with the greatest exponent: 31, 22, 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 = 231. 31. 22. 51 = 1380
Also calculates the: