Calculate the Least Common Multiple or LCM of 99, 101, 103 and 104
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The instructions to find the LCM of 99, 101, 103 and 104 are the next:
1. Decompose all numbers into prime factors
99 | 3 |
33 | 3 |
11 | 11 |
1 |
101 | 101 |
1 |
103 | 103 |
1 |
104 | 2 |
52 | 2 |
26 | 2 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 99 | = | 32 . 11 |
Prime factors of 101 | = | 101 |
Prime factors of 103 | = | 103 |
Prime factors of 104 | = | 23 . 13 |
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: 3 , 11 , 101 , 103 , 2 , 13
Uncommon prime factors with the greatest exponent: 32, 111, 1011, 1031, 23, 131
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 = 32. 111. 1011. 1031. 23. 131 = 107109288
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