Calculate the Least Common Multiple or LCM of 45, 74, 100 and 107
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The instructions to find the LCM of 45, 74, 100 and 107 are the next:
1. Decompose all numbers into prime factors
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 74 | 2 |
| 37 | 37 |
| 1 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 107 | 107 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 45 | = | 32 . 5 |
| Prime factors of 74 | = | 2 . 37 |
| Prime factors of 100 | = | 22 . 52 |
| Prime factors of 107 | = | 107 |
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 , 5 , 2 , 37 , 107
Uncommon prime factors with the greatest exponent: 32, 52, 22, 371, 1071
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. 52. 22. 371. 1071 = 3563100
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