Find the LCM of 822, 107, 902, 919, 919 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 822, 107, 902, 919, 919. So, keep reading to learn more.
Given numbers are 822,107,902,919,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,107,902,919,919 is 36454206426.
Find LCM of 822,107,902,919,919 with Prime Factorization
2 | 822, 107, 902, 919, 919 |
919 | 411, 107, 451, 919, 919 |
411, 107, 451, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 919 x 411 x 107 x 451 x 1 x 1 = 36454206426
Therefore, the lowest common multiple of 822,107,902,919,919 is 36454206426.
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.
822 x 107 x 902 x 919 x 919 = 67002831410988
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
107 : 1, 107
902 : 1, 2, 11, 22, 41, 82, 451, 902
919 : 1, 919
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,107,902,919,919, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
107:107
902:2x 11x 41
919:919
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 919 = 1838
Therefore, the value for common factors is 1838.
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 = 67002831410988/(1x1838)
LCM = 67002831410988/1838
LCM = 36454206426
Thus, we can understand that the LCM of 822,107,902,919,919 is 36454206426.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 107, 902, 919, 919?
Answer: LCM of 822, 107, 902, 919, 919 is 36454206426.
2. How to calculate the LCM of 822, 107, 902, 919, 919?
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 822, 107, 902, 919, 919.
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}.