Find the LCM of 508, 718, 904, 616, 796 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 508, 718, 904, 616, 796. So, keep reading to learn more.
Given numbers are 508,718,904,616,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,718,904,616,796 is 631553871256.
Find LCM of 508,718,904,616,796 with Prime Factorization
2 | 508, 718, 904, 616, 796 |
2 | 254, 359, 452, 308, 398 |
2 | 127, 359, 226, 154, 199 |
127, 359, 113, 77, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 359 x 113 x 77 x 199 = 631553871256
Therefore, the lowest common multiple of 508,718,904,616,796 is 631553871256.
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.
508 x 718 x 904 x 616 x 796 = 161677791041536
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.
508 : 1, 2, 4, 127, 254, 508
718 : 1, 2, 359, 718
904 : 1, 2, 4, 8, 113, 226, 452, 904
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
796 : 1, 2, 4, 199, 398, 796
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,718,904,616,796, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
718:2x 359
904:2x 2x 2x 113
616:2x 2x 2x 7x 11
796:2x 2x 199
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 2 = 128
Therefore, the value for common factors is 128.
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 = 161677791041536/(2x128)
LCM = 161677791041536/256
LCM = 631553871256
Thus, we can understand that the LCM of 508,718,904,616,796 is 631553871256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 718, 904, 616, 796?
Answer: LCM of 508, 718, 904, 616, 796 is 631553871256.
2. How to calculate the LCM of 508, 718, 904, 616, 796?
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 508, 718, 904, 616, 796.
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}.