LCM of 704, 394, 878, 684, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 394, 878, 684, 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 704, 394, 878, 684, 616. So, keep reading to learn more.
Given numbers are 704,394,878,684,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,394,878,684,616 is 72878186304.
Find LCM of 704,394,878,684,616 with Prime Factorization
| 2 | 704, 394, 878, 684, 616 |
| 2 | 352, 197, 439, 342, 308 |
| 2 | 176, 197, 439, 171, 154 |
| 11 | 88, 197, 439, 171, 77 |
| 8, 197, 439, 171, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 8 x 197 x 439 x 171 x 7 = 72878186304
Therefore, the lowest common multiple of 704,394,878,684,616 is 72878186304.
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.
704 x 394 x 878 x 684 x 616 = 102612486316032
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
394 : 1, 2, 197, 394
878 : 1, 2, 439, 878
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,394,878,684,616, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
394:2x 197
878:2x 439
684:2x 2x 3x 3x 19
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 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 102612486316032/(2x704)
LCM = 102612486316032/1408
LCM = 72878186304
Thus, we can understand that the LCM of 704,394,878,684,616 is 72878186304.
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FAQs on LCM of 704, 394, 878, 684, 616
1. What is the LCM of 704, 394, 878, 684, 616?
Answer: LCM of 704, 394, 878, 684, 616 is 72878186304.
2. How to calculate the LCM of 704, 394, 878, 684, 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 704, 394, 878, 684, 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}.