LCM of 913, 498, 809, 847, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 498, 809, 847, 214 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 913, 498, 809, 847, 214. So, keep reading to learn more.
Given numbers are 913,498,809,847,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,498,809,847,214 is 36512792778.
Find LCM of 913,498,809,847,214 with Prime Factorization
| 2 | 913, 498, 809, 847, 214 |
| 11 | 913, 249, 809, 847, 107 |
| 83 | 83, 249, 809, 77, 107 |
| 1, 3, 809, 77, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 83 x 1 x 3 x 809 x 77 x 107 = 36512792778
Therefore, the lowest common multiple of 913,498,809,847,214 is 36512792778.
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.
913 x 498 x 809 x 847 x 214 = 66672359612628
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.
913 : 1, 11, 83, 913
498 : 1, 2, 3, 6, 83, 166, 249, 498
809 : 1, 809
847 : 1, 7, 11, 77, 121, 847
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,498,809,847,214, is 1.
Now, the common factors can be found like this.
913:11x 83
498:2x 3x 83
809:809
847:7x 11x 11
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 83 = 1826
Therefore, the value for common factors is 1826.
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 = 66672359612628/(1x1826)
LCM = 66672359612628/1826
LCM = 36512792778
Thus, we can understand that the LCM of 913,498,809,847,214 is 36512792778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 498, 809, 847, 214
1. What is the LCM of 913, 498, 809, 847, 214?
Answer: LCM of 913, 498, 809, 847, 214 is 36512792778.
2. How to calculate the LCM of 913, 498, 809, 847, 214?
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 913, 498, 809, 847, 214.
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}.