Find the LCM of 896, 801, 418, 489, 702 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 896, 801, 418, 489, 702. So, keep reading to learn more.
Given numbers are 896,801,418,489,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,801,418,489,702 is 953540235648.
Find LCM of 896,801,418,489,702 with Prime Factorization
2 | 896, 801, 418, 489, 702 |
3 | 448, 801, 209, 489, 351 |
3 | 448, 267, 209, 163, 117 |
448, 89, 209, 163, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 448 x 89 x 209 x 163 x 39 = 953540235648
Therefore, the lowest common multiple of 896,801,418,489,702 is 953540235648.
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.
896 x 801 x 418 x 489 x 702 = 102982345449984
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
801 : 1, 3, 9, 89, 267, 801
418 : 1, 2, 11, 19, 22, 38, 209, 418
489 : 1, 3, 163, 489
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,801,418,489,702, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
801:3x 3x 89
418:2x 11x 19
489:3x 163
702:2x 3x 3x 3x 13
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 102982345449984/(1x108)
LCM = 102982345449984/108
LCM = 953540235648
Thus, we can understand that the LCM of 896,801,418,489,702 is 953540235648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 801, 418, 489, 702?
Answer: LCM of 896, 801, 418, 489, 702 is 953540235648.
2. How to calculate the LCM of 896, 801, 418, 489, 702?
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 896, 801, 418, 489, 702.
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}.