Calculate the Least Common Multiple or LCM of 23, 452 and 458
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The instructions to find the LCM of 23, 452 and 458 are the next:
1. Decompose all numbers into prime factors
23 | 23 |
1 |
452 | 2 |
226 | 2 |
113 | 113 |
1 |
458 | 2 |
229 | 229 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 23 | = | 23 |
Prime factors of 452 | = | 22 . 113 |
Prime factors of 458 | = | 2 . 229 |
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: 23 , 2 , 113 , 229
Uncommon prime factors with the greatest exponent: 231, 22, 1131, 2291
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. 22. 1131. 2291 = 2380684
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