LCM of 974, 481, 720, 689, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 481, 720, 689, 285 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 974, 481, 720, 689, 285. So, keep reading to learn more.
Given numbers are 974,481,720,689,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,481,720,689,285 is 169838444880.
Find LCM of 974,481,720,689,285 with Prime Factorization
| 2 | 974, 481, 720, 689, 285 |
| 3 | 487, 481, 360, 689, 285 |
| 5 | 487, 481, 120, 689, 95 |
| 13 | 487, 481, 24, 689, 19 |
| 487, 37, 24, 53, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 487 x 37 x 24 x 53 x 19 = 169838444880
Therefore, the lowest common multiple of 974,481,720,689,285 is 169838444880.
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.
974 x 481 x 720 x 689 x 285 = 66236993503200
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.
974 : 1, 2, 487, 974
481 : 1, 13, 37, 481
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
689 : 1, 13, 53, 689
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,481,720,689,285, is 1.
Now, the common factors can be found like this.
974:2x 487
481:13x 37
720:2x 2x 2x 2x 3x 3x 5
689:13x 53
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 66236993503200/(1x390)
LCM = 66236993503200/390
LCM = 169838444880
Thus, we can understand that the LCM of 974,481,720,689,285 is 169838444880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 974, 481, 720, 689, 285
1. What is the LCM of 974, 481, 720, 689, 285?
Answer: LCM of 974, 481, 720, 689, 285 is 169838444880.
2. How to calculate the LCM of 974, 481, 720, 689, 285?
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 974, 481, 720, 689, 285.
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}.