LCM of 628, 344, 484, 940, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 344, 484, 940, 488 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, 344, 484, 940, 488. So, keep reading to learn more.
Given numbers are 628,344,484,940,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,344,484,940,488 is 93678766280.
Find LCM of 628,344,484,940,488 with Prime Factorization
| 2 | 628, 344, 484, 940, 488 |
| 2 | 314, 172, 242, 470, 244 |
| 2 | 157, 86, 121, 235, 122 |
| 157, 43, 121, 235, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 157 x 43 x 121 x 235 x 61 = 93678766280
Therefore, the lowest common multiple of 628,344,484,940,488 is 93678766280.
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 344 x 484 x 940 x 488 = 47963528335360
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
344 : 1, 2, 4, 8, 43, 86, 172, 344
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
488 : 1, 2, 4, 8, 61, 122, 244, 488
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,344,484,940,488, is 4.
Now, the common factors can be found like this.
628:2x 2x 157
344:2x 2x 2x 43
484:2x 2x 11x 11
940:2x 2x 5x 47
488:2x 2x 2x 61
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 2 = 128
Therefore, the value for common factors is 128.
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 = 47963528335360/(4x128)
LCM = 47963528335360/512
LCM = 93678766280
Thus, we can understand that the LCM of 628,344,484,940,488 is 93678766280.
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, 344, 484, 940, 488
1. What is the LCM of 628, 344, 484, 940, 488?
Answer: LCM of 628, 344, 484, 940, 488 is 93678766280.
2. How to calculate the LCM of 628, 344, 484, 940, 488?
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, 344, 484, 940, 488.
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}.