LCM of 809, 946, 792, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 946, 792, 616 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 809, 946, 792, 616. So, keep reading to learn more.
Given numbers are 809,946,792,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,946,792,616 is 192859128.
Find LCM of 809,946,792,616 with Prime Factorization
| 2 | 809, 946, 792, 616 |
| 2 | 809, 473, 396, 308 |
| 2 | 809, 473, 198, 154 |
| 11 | 809, 473, 99, 77 |
| 809, 43, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 809 x 43 x 9 x 7 = 192859128
Therefore, the lowest common multiple of 809,946,792,616 is 192859128.
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.
809 x 946 x 792 x 616 = 373375271808
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.
809 : 1, 809
946 : 1, 2, 11, 22, 43, 86, 473, 946
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,946,792,616, is 1.
Now, the common factors can be found like this.
809:809
946:2x 11x 43
792:2x 2x 2x 3x 3x 11
616:2x 2x 2x 7x 11
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 373375271808/(1x1936)
LCM = 373375271808/1936
LCM = 192859128
Thus, we can understand that the LCM of 809,946,792,616 is 192859128.
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FAQs on LCM of 809, 946, 792, 616
1. What is the LCM of 809, 946, 792, 616?
Answer: LCM of 809, 946, 792, 616 is 192859128.
2. How to calculate the LCM of 809, 946, 792, 616?
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 809, 946, 792, 616.
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}.