LCM of 958, 870, 194, 655, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 870, 194, 655, 582 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 958, 870, 194, 655, 582. So, keep reading to learn more.
Given numbers are 958,870,194,655,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,870,194,655,582 is 5295388110.
Find LCM of 958,870,194,655,582 with Prime Factorization
| 2 | 958, 870, 194, 655, 582 |
| 3 | 479, 435, 97, 655, 291 |
| 5 | 479, 145, 97, 655, 97 |
| 97 | 479, 29, 97, 131, 97 |
| 479, 29, 1, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 97 x 479 x 29 x 1 x 131 x 1 = 5295388110
Therefore, the lowest common multiple of 958,870,194,655,582 is 5295388110.
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.
958 x 870 x 194 x 655 x 582 = 61638317600400
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.
958 : 1, 2, 479, 958
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
194 : 1, 2, 97, 194
655 : 1, 5, 131, 655
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,870,194,655,582, is 1.
Now, the common factors can be found like this.
958:2x 479
870:2x 3x 5x 29
194:2x 97
655:5x 131
582:2x 3x 97
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 3x 5x 97 = 11640
Therefore, the value for common factors is 11640.
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 = 61638317600400/(1x11640)
LCM = 61638317600400/11640
LCM = 5295388110
Thus, we can understand that the LCM of 958,870,194,655,582 is 5295388110.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 958, 870, 194, 655, 582
1. What is the LCM of 958, 870, 194, 655, 582?
Answer: LCM of 958, 870, 194, 655, 582 is 5295388110.
2. How to calculate the LCM of 958, 870, 194, 655, 582?
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 958, 870, 194, 655, 582.
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}.