Calculate the Least Common Multiple or LCM of 870
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The instructions to find the LCM of 870 are the next:
1. Decompose all numbers into prime factors
870 | 2 |
435 | 3 |
145 | 5 |
29 | 29 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 870 | = | 2 . 3 . 5 . 29 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3 , 5 , 29
Common prime factors with the greatest exponent: 21, 31, 51, 291
Uncommon prime factors: None
Uncommon prime factors with the greatest exponent: None
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. 31. 51. 291 = 870
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