Find the LCM of 703, 902, 484, 580, 489 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 703, 902, 484, 580, 489. So, keep reading to learn more.
Given numbers are 703,902,484,580,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,902,484,580,489 is 989148290460.
Find LCM of 703,902,484,580,489 with Prime Factorization
2 | 703, 902, 484, 580, 489 |
2 | 703, 451, 242, 290, 489 |
11 | 703, 451, 121, 145, 489 |
703, 41, 11, 145, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 703 x 41 x 11 x 145 x 489 = 989148290460
Therefore, the lowest common multiple of 703,902,484,580,489 is 989148290460.
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.
703 x 902 x 484 x 580 x 489 = 87045049560480
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.
703 : 1, 19, 37, 703
902 : 1, 2, 11, 22, 41, 82, 451, 902
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,902,484,580,489, is 1.
Now, the common factors can be found like this.
703:19x 37
902:2x 11x 41
484:2x 2x 11x 11
580:2x 2x 5x 29
489:3x 163
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 11 = 88
Therefore, the value for common factors is 88.
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 = 87045049560480/(1x88)
LCM = 87045049560480/88
LCM = 989148290460
Thus, we can understand that the LCM of 703,902,484,580,489 is 989148290460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 902, 484, 580, 489?
Answer: LCM of 703, 902, 484, 580, 489 is 989148290460.
2. How to calculate the LCM of 703, 902, 484, 580, 489?
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 703, 902, 484, 580, 489.
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}.