LCM of 637, 494, 861, 642, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 494, 861, 642, 530 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 637, 494, 861, 642, 530. So, keep reading to learn more.
Given numbers are 637,494,861,642,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,494,861,642,530 is 84422418990.
Find LCM of 637,494,861,642,530 with Prime Factorization
| 2 | 637, 494, 861, 642, 530 |
| 3 | 637, 247, 861, 321, 265 |
| 7 | 637, 247, 287, 107, 265 |
| 13 | 91, 247, 41, 107, 265 |
| 7, 19, 41, 107, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 7 x 19 x 41 x 107 x 265 = 84422418990
Therefore, the lowest common multiple of 637,494,861,642,530 is 84422418990.
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.
637 x 494 x 861 x 642 x 530 = 92189281537080
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.
637 : 1, 7, 13, 49, 91, 637
494 : 1, 2, 13, 19, 26, 38, 247, 494
861 : 1, 3, 7, 21, 41, 123, 287, 861
642 : 1, 2, 3, 6, 107, 214, 321, 642
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,494,861,642,530, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
494:2x 13x 19
861:3x 7x 41
642:2x 3x 107
530:2x 5x 53
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 92189281537080/(1x1092)
LCM = 92189281537080/1092
LCM = 84422418990
Thus, we can understand that the LCM of 637,494,861,642,530 is 84422418990.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 637, 494, 861, 642, 530
1. What is the LCM of 637, 494, 861, 642, 530?
Answer: LCM of 637, 494, 861, 642, 530 is 84422418990.
2. How to calculate the LCM of 637, 494, 861, 642, 530?
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 637, 494, 861, 642, 530.
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}.