Calculate the Least Common Multiple or LCM of 34, 51 and 289
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The instructions to find the LCM of 34, 51 and 289 are the next:
1. Decompose all numbers into prime factors
34 | 2 |
17 | 17 |
1 |
51 | 3 |
17 | 17 |
1 |
289 | 17 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 34 | = | 2 . 17 |
Prime factors of 51 | = | 3 . 17 |
Prime factors of 289 | = | 172 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 17
Common prime factors with the greatest exponent: 172
Uncommon prime factors: 2 , 3
Uncommon prime factors with the greatest exponent: 21, 31
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 = 172. 21. 31 = 1734
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