Calculate the Least Common Multiple or LCM of 171, 285 and 398
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The instructions to find the LCM of 171, 285 and 398 are the next:
1. Decompose all numbers into prime factors
| 171 | 3 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 285 | 3 |
| 95 | 5 |
| 19 | 19 |
| 1 |
| 398 | 2 |
| 199 | 199 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 171 | = | 32 . 19 |
| Prime factors of 285 | = | 3 . 5 . 19 |
| Prime factors of 398 | = | 2 . 199 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: None
Common prime factors with the greatest exponent: None
Uncommon prime factors: 3 , 19 , 5 , 2 , 199
Uncommon prime factors with the greatest exponent: 32, 191, 51, 21, 1991
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 = 32. 191. 51. 21. 1991 = 340290
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