Find the LCM of 810, 268, 617, 831, 642 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 810, 268, 617, 831, 642. So, keep reading to learn more.
Given numbers are 810,268,617,831,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,268,617,831,642 is 1984899526020.
Find LCM of 810,268,617,831,642 with Prime Factorization
2 | 810, 268, 617, 831, 642 |
3 | 405, 134, 617, 831, 321 |
135, 134, 617, 277, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 135 x 134 x 617 x 277 x 107 = 1984899526020
Therefore, the lowest common multiple of 810,268,617,831,642 is 1984899526020.
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.
810 x 268 x 617 x 831 x 642 = 71456382936720
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
268 : 1, 2, 4, 67, 134, 268
617 : 1, 617
831 : 1, 3, 277, 831
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,268,617,831,642, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
268:2x 2x 67
617:617
831:3x 277
642:2x 3x 107
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 71456382936720/(1x36)
LCM = 71456382936720/36
LCM = 1984899526020
Thus, we can understand that the LCM of 810,268,617,831,642 is 1984899526020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 268, 617, 831, 642?
Answer: LCM of 810, 268, 617, 831, 642 is 1984899526020.
2. How to calculate the LCM of 810, 268, 617, 831, 642?
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 810, 268, 617, 831, 642.
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}.