Find the LCM of 893, 700, 809, 845, 634 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 893, 700, 809, 845, 634. So, keep reading to learn more.
Given numbers are 893,700,809,845,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,700,809,845,634 is 27092182180700.
Find LCM of 893,700,809,845,634 with Prime Factorization
2 | 893, 700, 809, 845, 634 |
5 | 893, 350, 809, 845, 317 |
893, 70, 809, 169, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 893 x 70 x 809 x 169 x 317 = 27092182180700
Therefore, the lowest common multiple of 893,700,809,845,634 is 27092182180700.
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.
893 x 700 x 809 x 845 x 634 = 270921821807000
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.
893 : 1, 19, 47, 893
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
809 : 1, 809
845 : 1, 5, 13, 65, 169, 845
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,700,809,845,634, is 1.
Now, the common factors can be found like this.
893:19x 47
700:2x 2x 5x 5x 7
809:809
845:5x 13x 13
634:2x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 270921821807000/(1x10)
LCM = 270921821807000/10
LCM = 27092182180700
Thus, we can understand that the LCM of 893,700,809,845,634 is 27092182180700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 700, 809, 845, 634?
Answer: LCM of 893, 700, 809, 845, 634 is 27092182180700.
2. How to calculate the LCM of 893, 700, 809, 845, 634?
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 893, 700, 809, 845, 634.
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}.