LCM of 6, 404, 372, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 404, 372, 794 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 6, 404, 372, 794. So, keep reading to learn more.
Given numbers are 6,404,372,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,404,372,794 is 14916084.
Find LCM of 6,404,372,794 with Prime Factorization
| 2 | 6, 404, 372, 794 |
| 2 | 3, 202, 186, 397 |
| 3 | 3, 101, 93, 397 |
| 1, 101, 31, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 1 x 101 x 31 x 397 = 14916084
Therefore, the lowest common multiple of 6,404,372,794 is 14916084.
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.
6 x 404 x 372 x 794 = 715972032
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.
6 : 1, 2, 3, 6
404 : 1, 2, 4, 101, 202, 404
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,404,372,794, is 2.
Now, the common factors can be found like this.
6:2x 3
404:2x 2x 101
372:2x 2x 3x 31
794:2x 397
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 715972032/(2x24)
LCM = 715972032/48
LCM = 14916084
Thus, we can understand that the LCM of 6,404,372,794 is 14916084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6, 404, 372, 794
1. What is the LCM of 6, 404, 372, 794?
Answer: LCM of 6, 404, 372, 794 is 14916084.
2. How to calculate the LCM of 6, 404, 372, 794?
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 6, 404, 372, 794.
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}.