Calculate the Least Common Multiple or LCM of 56, 224 and 422
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The instructions to find the LCM of 56, 224 and 422 are the next:
1. Decompose all numbers into prime factors
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 224 | 2 |
| 112 | 2 |
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 422 | 2 |
| 211 | 211 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 56 | = | 23 . 7 |
| Prime factors of 224 | = | 25 . 7 |
| Prime factors of 422 | = | 2 . 211 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 25
Uncommon prime factors: 7 , 211
Uncommon prime factors with the greatest exponent: 71, 2111
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 = 25. 71. 2111 = 47264
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