LCM of 801, 259, 363, 370, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 259, 363, 370, 813 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, 259, 363, 370, 813. So, keep reading to learn more.
Given numbers are 801,259,363,370,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,259,363,370,813 is 68027880690.
Find LCM of 801,259,363,370,813 with Prime Factorization
| 3 | 801, 259, 363, 370, 813 |
| 37 | 267, 259, 121, 370, 271 |
| 267, 7, 121, 10, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 267 x 7 x 121 x 10 x 271 = 68027880690
Therefore, the lowest common multiple of 801,259,363,370,813 is 68027880690.
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 259 x 363 x 370 x 813 = 22653284269770
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
259 : 1, 7, 37, 259
363 : 1, 3, 11, 33, 121, 363
370 : 1, 2, 5, 10, 37, 74, 185, 370
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,259,363,370,813, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
259:7x 37
363:3x 11x 11
370:2x 5x 37
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 37 = 333
Therefore, the value for common factors is 333.
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 = 22653284269770/(1x333)
LCM = 22653284269770/333
LCM = 68027880690
Thus, we can understand that the LCM of 801,259,363,370,813 is 68027880690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 259, 363, 370, 813
1. What is the LCM of 801, 259, 363, 370, 813?
Answer: LCM of 801, 259, 363, 370, 813 is 68027880690.
2. How to calculate the LCM of 801, 259, 363, 370, 813?
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, 259, 363, 370, 813.
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}.