LCM of 811, 312, 394, 860, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 312, 394, 860, 811 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 811, 312, 394, 860, 811. So, keep reading to learn more.
Given numbers are 811,312,394,860,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,312,394,860,811 is 10717170360.
Find LCM of 811,312,394,860,811 with Prime Factorization
| 2 | 811, 312, 394, 860, 811 |
| 2 | 811, 156, 197, 430, 811 |
| 811 | 811, 78, 197, 215, 811 |
| 1, 78, 197, 215, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 811 x 1 x 78 x 197 x 215 x 1 = 10717170360
Therefore, the lowest common multiple of 811,312,394,860,811 is 10717170360.
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.
811 x 312 x 394 x 860 x 811 = 69533001295680
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.
811 : 1, 811
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
394 : 1, 2, 197, 394
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,312,394,860,811, is 1.
Now, the common factors can be found like this.
811:811
312:2x 2x 2x 3x 13
394:2x 197
860:2x 2x 5x 43
811:811
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 811 = 6488
Therefore, the value for common factors is 6488.
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 = 69533001295680/(1x6488)
LCM = 69533001295680/6488
LCM = 10717170360
Thus, we can understand that the LCM of 811,312,394,860,811 is 10717170360.
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FAQs on LCM of 811, 312, 394, 860, 811
1. What is the LCM of 811, 312, 394, 860, 811?
Answer: LCM of 811, 312, 394, 860, 811 is 10717170360.
2. How to calculate the LCM of 811, 312, 394, 860, 811?
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 811, 312, 394, 860, 811.
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}.