Find the LCM of 941, 826, 489, 763, 960 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 941, 826, 489, 763, 960. So, keep reading to learn more.
Given numbers are 941,826,489,763,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,826,489,763,960 is 6628648810560.
Find LCM of 941,826,489,763,960 with Prime Factorization
2 | 941, 826, 489, 763, 960 |
3 | 941, 413, 489, 763, 480 |
7 | 941, 413, 163, 763, 160 |
941, 59, 163, 109, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 941 x 59 x 163 x 109 x 160 = 6628648810560
Therefore, the lowest common multiple of 941,826,489,763,960 is 6628648810560.
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.
941 x 826 x 489 x 763 x 960 = 278403250043520
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.
941 : 1, 941
826 : 1, 2, 7, 14, 59, 118, 413, 826
489 : 1, 3, 163, 489
763 : 1, 7, 109, 763
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,826,489,763,960, is 1.
Now, the common factors can be found like this.
941:941
826:2x 7x 59
489:3x 163
763:7x 109
960:2x 2x 2x 2x 2x 2x 3x 5
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 7 = 42
Therefore, the value for common factors is 42.
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 = 278403250043520/(1x42)
LCM = 278403250043520/42
LCM = 6628648810560
Thus, we can understand that the LCM of 941,826,489,763,960 is 6628648810560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 941, 826, 489, 763, 960?
Answer: LCM of 941, 826, 489, 763, 960 is 6628648810560.
2. How to calculate the LCM of 941, 826, 489, 763, 960?
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 941, 826, 489, 763, 960.
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}.