Find the LCM of 979, 724, 390, 605, 898 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 979, 724, 390, 605, 898. So, keep reading to learn more.
Given numbers are 979,724,390,605,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,724,390,605,898 is 682644971580.
Find LCM of 979,724,390,605,898 with Prime Factorization
2 | 979, 724, 390, 605, 898 |
5 | 979, 362, 195, 605, 449 |
11 | 979, 362, 39, 121, 449 |
89, 362, 39, 11, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 89 x 362 x 39 x 11 x 449 = 682644971580
Therefore, the lowest common multiple of 979,724,390,605,898 is 682644971580.
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.
979 x 724 x 390 x 605 x 898 = 150181893747600
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.
979 : 1, 11, 89, 979
724 : 1, 2, 4, 181, 362, 724
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
605 : 1, 5, 11, 55, 121, 605
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,724,390,605,898, is 1.
Now, the common factors can be found like this.
979:11x 89
724:2x 2x 181
390:2x 3x 5x 13
605:5x 11x 11
898:2x 449
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 150181893747600/(1x220)
LCM = 150181893747600/220
LCM = 682644971580
Thus, we can understand that the LCM of 979,724,390,605,898 is 682644971580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 724, 390, 605, 898?
Answer: LCM of 979, 724, 390, 605, 898 is 682644971580.
2. How to calculate the LCM of 979, 724, 390, 605, 898?
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 979, 724, 390, 605, 898.
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}.