Find the LCM of 600, 858, 679, 303, 891 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 600, 858, 679, 303, 891. So, keep reading to learn more.
Given numbers are 600,858,679,303,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,858,679,303,891 is 158870111400.
Find LCM of 600,858,679,303,891 with Prime Factorization
2 | 600, 858, 679, 303, 891 |
3 | 300, 429, 679, 303, 891 |
11 | 100, 143, 679, 101, 297 |
100, 13, 679, 101, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 100 x 13 x 679 x 101 x 27 = 158870111400
Therefore, the lowest common multiple of 600,858,679,303,891 is 158870111400.
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.
600 x 858 x 679 x 303 x 891 = 94368846171600
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
679 : 1, 7, 97, 679
303 : 1, 3, 101, 303
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,858,679,303,891, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
858:2x 3x 11x 13
679:7x 97
303:3x 101
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 94368846171600/(1x594)
LCM = 94368846171600/594
LCM = 158870111400
Thus, we can understand that the LCM of 600,858,679,303,891 is 158870111400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 858, 679, 303, 891?
Answer: LCM of 600, 858, 679, 303, 891 is 158870111400.
2. How to calculate the LCM of 600, 858, 679, 303, 891?
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 600, 858, 679, 303, 891.
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}.