Find the LCM of 620, 822, 806, 803, 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 620, 822, 806, 803, 831. So, keep reading to learn more.
Given numbers are 620,822,806,803,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,822,806,803,831 is 736838276460.
Find LCM of 620,822,806,803,831 with Prime Factorization
2 | 620, 822, 806, 803, 831 |
3 | 310, 411, 403, 803, 831 |
31 | 310, 137, 403, 803, 277 |
10, 137, 13, 803, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 10 x 137 x 13 x 803 x 277 = 736838276460
Therefore, the lowest common multiple of 620,822,806,803,831 is 736838276460.
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.
620 x 822 x 806 x 803 x 831 = 274103838843120
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
822 : 1, 2, 3, 6, 137, 274, 411, 822
806 : 1, 2, 13, 26, 31, 62, 403, 806
803 : 1, 11, 73, 803
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,822,806,803,831, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
822:2x 3x 137
806:2x 13x 31
803:11x 73
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 2x 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 274103838843120/(1x372)
LCM = 274103838843120/372
LCM = 736838276460
Thus, we can understand that the LCM of 620,822,806,803,831 is 736838276460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 822, 806, 803, 831?
Answer: LCM of 620, 822, 806, 803, 831 is 736838276460.
2. How to calculate the LCM of 620, 822, 806, 803, 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 620, 822, 806, 803, 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}.