LCM of 479, 678, 758, 333, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 678, 758, 333, 394 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 479, 678, 758, 333, 394. So, keep reading to learn more.
Given numbers are 479,678,758,333,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,678,758,333,394 is 2691495277866.
Find LCM of 479,678,758,333,394 with Prime Factorization
| 2 | 479, 678, 758, 333, 394 |
| 3 | 479, 339, 379, 333, 197 |
| 479, 113, 379, 111, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 479 x 113 x 379 x 111 x 197 = 2691495277866
Therefore, the lowest common multiple of 479,678,758,333,394 is 2691495277866.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
479 x 678 x 758 x 333 x 394 = 32297943334392
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
479 : 1, 479
678 : 1, 2, 3, 6, 113, 226, 339, 678
758 : 1, 2, 379, 758
333 : 1, 3, 9, 37, 111, 333
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,678,758,333,394, is 1.
Now, the common factors can be found like this.
479:479
678:2x 3x 113
758:2x 379
333:3x 3x 37
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 32297943334392/(1x12)
LCM = 32297943334392/12
LCM = 2691495277866
Thus, we can understand that the LCM of 479,678,758,333,394 is 2691495277866.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 678, 758, 333, 394
1. What is the LCM of 479, 678, 758, 333, 394?
Answer: LCM of 479, 678, 758, 333, 394 is 2691495277866.
2. How to calculate the LCM of 479, 678, 758, 333, 394?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 479, 678, 758, 333, 394.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.