LCM of 919, 808, 891, 894, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 808, 891, 894, 760 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 919, 808, 891, 894, 760. So, keep reading to learn more.
Given numbers are 919,808,891,894,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,808,891,894,760 is 9365143791960.
Find LCM of 919,808,891,894,760 with Prime Factorization
| 2 | 919, 808, 891, 894, 760 |
| 2 | 919, 404, 891, 447, 380 |
| 2 | 919, 202, 891, 447, 190 |
| 3 | 919, 101, 891, 447, 95 |
| 919, 101, 297, 149, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 919 x 101 x 297 x 149 x 95 = 9365143791960
Therefore, the lowest common multiple of 919,808,891,894,760 is 9365143791960.
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.
919 x 808 x 891 x 894 x 760 = 449526902014080
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.
919 : 1, 919
808 : 1, 2, 4, 8, 101, 202, 404, 808
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
894 : 1, 2, 3, 6, 149, 298, 447, 894
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,808,891,894,760, is 1.
Now, the common factors can be found like this.
919:919
808:2x 2x 2x 101
891:3x 3x 3x 3x 11
894:2x 3x 149
760:2x 2x 2x 5x 19
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 449526902014080/(1x48)
LCM = 449526902014080/48
LCM = 9365143791960
Thus, we can understand that the LCM of 919,808,891,894,760 is 9365143791960.
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FAQs on LCM of 919, 808, 891, 894, 760
1. What is the LCM of 919, 808, 891, 894, 760?
Answer: LCM of 919, 808, 891, 894, 760 is 9365143791960.
2. How to calculate the LCM of 919, 808, 891, 894, 760?
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 919, 808, 891, 894, 760.
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}.