Find the LCM of 655, 566, 984, 787, 985 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 655, 566, 984, 787, 985. So, keep reading to learn more.
Given numbers are 655,566,984,787,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,566,984,787,985 is 28278983367240.
Find LCM of 655,566,984,787,985 with Prime Factorization
2 | 655, 566, 984, 787, 985 |
5 | 655, 283, 492, 787, 985 |
131, 283, 492, 787, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 131 x 283 x 492 x 787 x 197 = 28278983367240
Therefore, the lowest common multiple of 655,566,984,787,985 is 28278983367240.
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.
655 x 566 x 984 x 787 x 985 = 282789833672400
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.
655 : 1, 5, 131, 655
566 : 1, 2, 283, 566
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
787 : 1, 787
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,566,984,787,985, is 1.
Now, the common factors can be found like this.
655:5x 131
566:2x 283
984:2x 2x 2x 3x 41
787:787
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 282789833672400/(1x10)
LCM = 282789833672400/10
LCM = 28278983367240
Thus, we can understand that the LCM of 655,566,984,787,985 is 28278983367240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 566, 984, 787, 985?
Answer: LCM of 655, 566, 984, 787, 985 is 28278983367240.
2. How to calculate the LCM of 655, 566, 984, 787, 985?
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 655, 566, 984, 787, 985.
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}.