LCM of 871, 813, 946, 340, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 813, 946, 340, 910 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 871, 813, 946, 340, 910. So, keep reading to learn more.
Given numbers are 871,813,946,340,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,813,946,340,910 is 797162386020.
Find LCM of 871,813,946,340,910 with Prime Factorization
| 2 | 871, 813, 946, 340, 910 |
| 5 | 871, 813, 473, 170, 455 |
| 13 | 871, 813, 473, 34, 91 |
| 67, 813, 473, 34, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 67 x 813 x 473 x 34 x 7 = 797162386020
Therefore, the lowest common multiple of 871,813,946,340,910 is 797162386020.
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.
871 x 813 x 946 x 340 x 910 = 207262220365200
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.
871 : 1, 13, 67, 871
813 : 1, 3, 271, 813
946 : 1, 2, 11, 22, 43, 86, 473, 946
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,813,946,340,910, is 1.
Now, the common factors can be found like this.
871:13x 67
813:3x 271
946:2x 11x 43
340:2x 2x 5x 17
910:2x 5x 7x 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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 207262220365200/(1x260)
LCM = 207262220365200/260
LCM = 797162386020
Thus, we can understand that the LCM of 871,813,946,340,910 is 797162386020.
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FAQs on LCM of 871, 813, 946, 340, 910
1. What is the LCM of 871, 813, 946, 340, 910?
Answer: LCM of 871, 813, 946, 340, 910 is 797162386020.
2. How to calculate the LCM of 871, 813, 946, 340, 910?
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 871, 813, 946, 340, 910.
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}.