Calculate the Least Common Multiple or LCM of 234, 342 and 482
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The instructions to find the LCM of 234, 342 and 482 are the next:
1. Decompose all numbers into prime factors
| 234 | 2 |
| 117 | 3 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 342 | 2 |
| 171 | 3 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 482 | 2 |
| 241 | 241 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 234 | = | 2 . 32 . 13 |
| Prime factors of 342 | = | 2 . 32 . 19 |
| Prime factors of 482 | = | 2 . 241 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 21
Uncommon prime factors: 3 , 13 , 19 , 241
Uncommon prime factors with the greatest exponent: 32, 131, 191, 2411
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 = 21. 32. 131. 191. 2411 = 1071486
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