Find the LCM of 779, 898, 658, 804, 470 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 779, 898, 658, 804, 470. So, keep reading to learn more.
Given numbers are 779,898,658,804,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,898,658,804,470 is 462600129180.
Find LCM of 779,898,658,804,470 with Prime Factorization
2 | 779, 898, 658, 804, 470 |
47 | 779, 449, 329, 402, 235 |
779, 449, 7, 402, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 779 x 449 x 7 x 402 x 5 = 462600129180
Therefore, the lowest common multiple of 779,898,658,804,470 is 462600129180.
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.
779 x 898 x 658 x 804 x 470 = 173937648571680
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.
779 : 1, 19, 41, 779
898 : 1, 2, 449, 898
658 : 1, 2, 7, 14, 47, 94, 329, 658
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,898,658,804,470, is 1.
Now, the common factors can be found like this.
779:19x 41
898:2x 449
658:2x 7x 47
804:2x 2x 3x 67
470:2x 5x 47
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 47 = 376
Therefore, the value for common factors is 376.
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 = 173937648571680/(1x376)
LCM = 173937648571680/376
LCM = 462600129180
Thus, we can understand that the LCM of 779,898,658,804,470 is 462600129180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 898, 658, 804, 470?
Answer: LCM of 779, 898, 658, 804, 470 is 462600129180.
2. How to calculate the LCM of 779, 898, 658, 804, 470?
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 779, 898, 658, 804, 470.
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}.