Calculate the Least Common Multiple or LCM of 26, 56 and 58
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The instructions to find the LCM of 26, 56 and 58 are the next:
1. Decompose all numbers into prime factors
26 | 2 |
13 | 13 |
1 |
56 | 2 |
28 | 2 |
14 | 2 |
7 | 7 |
1 |
58 | 2 |
29 | 29 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 26 | = | 2 . 13 |
Prime factors of 56 | = | 23 . 7 |
Prime factors of 58 | = | 2 . 29 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 23
Uncommon prime factors: 13 , 7 , 29
Uncommon prime factors with the greatest exponent: 131, 71, 291
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 = 23. 131. 71. 291 = 21112
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