LCM of 628, 416, 832, 494, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 416, 832, 494, 820 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 628, 416, 832, 494, 820. So, keep reading to learn more.
Given numbers are 628,416,832,494,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,416,832,494,820 is 508780480.
Find LCM of 628,416,832,494,820 with Prime Factorization
| 2 | 628, 416, 832, 494, 820 |
| 2 | 314, 208, 416, 247, 410 |
| 2 | 157, 104, 208, 247, 205 |
| 2 | 157, 52, 104, 247, 205 |
| 2 | 157, 26, 52, 247, 205 |
| 13 | 157, 13, 26, 247, 205 |
| 157, 1, 2, 19, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 157 x 1 x 2 x 19 x 205 = 508780480
Therefore, the lowest common multiple of 628,416,832,494,820 is 508780480.
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.
628 x 416 x 832 x 494 x 820 = 88047514746880
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.
628 : 1, 2, 4, 157, 314, 628
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
494 : 1, 2, 13, 19, 26, 38, 247, 494
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,416,832,494,820, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
416:2x 2x 2x 2x 2x 13
832:2x 2x 2x 2x 2x 2x 13
494:2x 13x 19
820:2x 2x 5x 41
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 2x 2x 2x 2x 2x 2x 13x 13 = 86528
Therefore, the value for common factors is 86528.
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 = 88047514746880/(2x86528)
LCM = 88047514746880/173056
LCM = 508780480
Thus, we can understand that the LCM of 628,416,832,494,820 is 508780480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 628, 416, 832, 494, 820
1. What is the LCM of 628, 416, 832, 494, 820?
Answer: LCM of 628, 416, 832, 494, 820 is 508780480.
2. How to calculate the LCM of 628, 416, 832, 494, 820?
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 628, 416, 832, 494, 820.
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}.