LCM of 801, 379, 442, 379, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 379, 442, 379, 795 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 801, 379, 442, 379, 795. So, keep reading to learn more.
Given numbers are 801,379,442,379,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,379,442,379,795 is 35558208270.
Find LCM of 801,379,442,379,795 with Prime Factorization
| 3 | 801, 379, 442, 379, 795 |
| 379 | 267, 379, 442, 379, 265 |
| 267, 1, 442, 1, 265 |
Multiply the prime numbers at the bottom and the left side.
3 x 379 x 267 x 1 x 442 x 1 x 265 = 35558208270
Therefore, the lowest common multiple of 801,379,442,379,795 is 35558208270.
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.
801 x 379 x 442 x 379 x 795 = 40429682802990
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.
801 : 1, 3, 9, 89, 267, 801
379 : 1, 379
442 : 1, 2, 13, 17, 26, 34, 221, 442
379 : 1, 379
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,379,442,379,795, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
379:379
442:2x 13x 17
379:379
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 379 = 1137
Therefore, the value for common factors is 1137.
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 = 40429682802990/(1x1137)
LCM = 40429682802990/1137
LCM = 35558208270
Thus, we can understand that the LCM of 801,379,442,379,795 is 35558208270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 379, 442, 379, 795
1. What is the LCM of 801, 379, 442, 379, 795?
Answer: LCM of 801, 379, 442, 379, 795 is 35558208270.
2. How to calculate the LCM of 801, 379, 442, 379, 795?
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 801, 379, 442, 379, 795.
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}.