Find the LCM of 689, 852, 494, 770, 806 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 689, 852, 494, 770, 806. So, keep reading to learn more.
Given numbers are 689,852,494,770,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,852,494,770,806 is 133117404420.
Find LCM of 689,852,494,770,806 with Prime Factorization
2 | 689, 852, 494, 770, 806 |
13 | 689, 426, 247, 385, 403 |
53, 426, 19, 385, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 426 x 19 x 385 x 31 = 133117404420
Therefore, the lowest common multiple of 689,852,494,770,806 is 133117404420.
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.
689 x 852 x 494 x 770 x 806 = 179974730775840
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.
689 : 1, 13, 53, 689
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
494 : 1, 2, 13, 19, 26, 38, 247, 494
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,852,494,770,806, is 1.
Now, the common factors can be found like this.
689:13x 53
852:2x 2x 3x 71
494:2x 13x 19
770:2x 5x 7x 11
806:2x 13x 31
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 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 179974730775840/(1x1352)
LCM = 179974730775840/1352
LCM = 133117404420
Thus, we can understand that the LCM of 689,852,494,770,806 is 133117404420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 852, 494, 770, 806?
Answer: LCM of 689, 852, 494, 770, 806 is 133117404420.
2. How to calculate the LCM of 689, 852, 494, 770, 806?
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 689, 852, 494, 770, 806.
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}.