Find the LCM of 560, 836, 417, 257, 977 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 560, 836, 417, 257, 977. So, keep reading to learn more.
Given numbers are 560,836,417,257,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,836,417,257,977 is 12254569385520.
Find LCM of 560,836,417,257,977 with Prime Factorization
2 | 560, 836, 417, 257, 977 |
2 | 280, 418, 417, 257, 977 |
140, 209, 417, 257, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 140 x 209 x 417 x 257 x 977 = 12254569385520
Therefore, the lowest common multiple of 560,836,417,257,977 is 12254569385520.
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.
560 x 836 x 417 x 257 x 977 = 49018277542080
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
417 : 1, 3, 139, 417
257 : 1, 257
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,836,417,257,977, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
836:2x 2x 11x 19
417:3x 139
257:257
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 49018277542080/(1x4)
LCM = 49018277542080/4
LCM = 12254569385520
Thus, we can understand that the LCM of 560,836,417,257,977 is 12254569385520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 560, 836, 417, 257, 977?
Answer: LCM of 560, 836, 417, 257, 977 is 12254569385520.
2. How to calculate the LCM of 560, 836, 417, 257, 977?
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 560, 836, 417, 257, 977.
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}.