Calculate the Least Common Multiple or LCM of 78, 190 and 404
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The instructions to find the LCM of 78, 190 and 404 are the next:
1. Decompose all numbers into prime factors
78 | 2 |
39 | 3 |
13 | 13 |
1 |
190 | 2 |
95 | 5 |
19 | 19 |
1 |
404 | 2 |
202 | 2 |
101 | 101 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 78 | = | 2 . 3 . 13 |
Prime factors of 190 | = | 2 . 5 . 19 |
Prime factors of 404 | = | 22 . 101 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 22
Uncommon prime factors: 3 , 13 , 5 , 19 , 101
Uncommon prime factors with the greatest exponent: 31, 131, 51, 191, 1011
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 = 22. 31. 131. 51. 191. 1011 = 1496820
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