Find the LCM of 855, 943, 811, 828, 705 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 855, 943, 811, 828, 705. So, keep reading to learn more.
Given numbers are 855,943,811,828,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,943,811,828,705 is 122929612020.
Find LCM of 855,943,811,828,705 with Prime Factorization
3 | 855, 943, 811, 828, 705 |
3 | 285, 943, 811, 276, 235 |
5 | 95, 943, 811, 92, 235 |
23 | 19, 943, 811, 92, 47 |
19, 41, 811, 4, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 23 x 19 x 41 x 811 x 4 x 47 = 122929612020
Therefore, the lowest common multiple of 855,943,811,828,705 is 122929612020.
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.
855 x 943 x 811 x 828 x 705 = 381696445322100
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
943 : 1, 23, 41, 943
811 : 1, 811
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,943,811,828,705, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
943:23x 41
811:811
828:2x 2x 3x 3x 23
705:3x 5x 47
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 3x 5x 23 = 3105
Therefore, the value for common factors is 3105.
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 = 381696445322100/(1x3105)
LCM = 381696445322100/3105
LCM = 122929612020
Thus, we can understand that the LCM of 855,943,811,828,705 is 122929612020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 943, 811, 828, 705?
Answer: LCM of 855, 943, 811, 828, 705 is 122929612020.
2. How to calculate the LCM of 855, 943, 811, 828, 705?
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 855, 943, 811, 828, 705.
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}.