Find the LCM of 850, 781, 660, 901, 831 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 850, 781, 660, 901, 831. So, keep reading to learn more.
Given numbers are 850,781,660,901,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,781,660,901,831 is 58475891100.
Find LCM of 850,781,660,901,831 with Prime Factorization
2 | 850, 781, 660, 901, 831 |
3 | 425, 781, 330, 901, 831 |
5 | 425, 781, 110, 901, 277 |
11 | 85, 781, 22, 901, 277 |
17 | 85, 71, 2, 901, 277 |
5, 71, 2, 53, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 5 x 71 x 2 x 53 x 277 = 58475891100
Therefore, the lowest common multiple of 850,781,660,901,831 is 58475891100.
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.
850 x 781 x 660 x 901 x 831 = 328049749071000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
781 : 1, 11, 71, 781
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
901 : 1, 17, 53, 901
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,781,660,901,831, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
781:11x 71
660:2x 2x 3x 5x 11
901:17x 53
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 17 = 5610
Therefore, the value for common factors is 5610.
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 = 328049749071000/(1x5610)
LCM = 328049749071000/5610
LCM = 58475891100
Thus, we can understand that the LCM of 850,781,660,901,831 is 58475891100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 850, 781, 660, 901, 831?
Answer: LCM of 850, 781, 660, 901, 831 is 58475891100.
2. How to calculate the LCM of 850, 781, 660, 901, 831?
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 850, 781, 660, 901, 831.
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}.