Calculate the Least Common Multiple or LCM of 123, 456 and 473
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The instructions to find the LCM of 123, 456 and 473 are the next:
1. Decompose all numbers into prime factors
123 | 3 |
41 | 41 |
1 |
456 | 2 |
228 | 2 |
114 | 2 |
57 | 3 |
19 | 19 |
1 |
473 | 11 |
43 | 43 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 123 | = | 3 . 41 |
Prime factors of 456 | = | 23 . 3 . 19 |
Prime factors of 473 | = | 11 . 43 |
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 , 41 , 2 , 19 , 11 , 43
Uncommon prime factors with the greatest exponent: 31, 411, 23, 191, 111, 431
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 = 31. 411. 23. 191. 111. 431 = 8843208
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