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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

782
393
1313
1
1902
955
1919
1
4042
2022
101101
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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