LCM of 794, 489, 822, 234, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 489, 822, 234, 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 794, 489, 822, 234, 910. So, keep reading to learn more.
Given numbers are 794,489,822,234,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,489,822,234,910 is 72607683330.
Find LCM of 794,489,822,234,910 with Prime Factorization
| 2 | 794, 489, 822, 234, 910 |
| 3 | 397, 489, 411, 117, 455 |
| 13 | 397, 163, 137, 39, 455 |
| 397, 163, 137, 3, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 397 x 163 x 137 x 3 x 35 = 72607683330
Therefore, the lowest common multiple of 794,489,822,234,910 is 72607683330.
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.
794 x 489 x 822 x 234 x 910 = 67960791596880
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.
794 : 1, 2, 397, 794
489 : 1, 3, 163, 489
822 : 1, 2, 3, 6, 137, 274, 411, 822
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 794,489,822,234,910, is 1.
Now, the common factors can be found like this.
794:2x 397
489:3x 163
822:2x 3x 137
234:2x 3x 3x 13
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 2x 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 67960791596880/(1x936)
LCM = 67960791596880/936
LCM = 72607683330
Thus, we can understand that the LCM of 794,489,822,234,910 is 72607683330.
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FAQs on LCM of 794, 489, 822, 234, 910
1. What is the LCM of 794, 489, 822, 234, 910?
Answer: LCM of 794, 489, 822, 234, 910 is 72607683330.
2. How to calculate the LCM of 794, 489, 822, 234, 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 794, 489, 822, 234, 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}.