LCM of 799, 368, 418, 684, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 368, 418, 684, 628 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 799, 368, 418, 684, 628. So, keep reading to learn more.
Given numbers are 799,368,418,684,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,368,418,684,628 is 86832648144.
Find LCM of 799,368,418,684,628 with Prime Factorization
| 2 | 799, 368, 418, 684, 628 |
| 2 | 799, 184, 209, 342, 314 |
| 19 | 799, 92, 209, 171, 157 |
| 799, 92, 11, 9, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 799 x 92 x 11 x 9 x 157 = 86832648144
Therefore, the lowest common multiple of 799,368,418,684,628 is 86832648144.
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.
799 x 368 x 418 x 684 x 628 = 52794250071552
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.
799 : 1, 17, 47, 799
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
418 : 1, 2, 11, 19, 22, 38, 209, 418
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,368,418,684,628, is 1.
Now, the common factors can be found like this.
799:17x 47
368:2x 2x 2x 2x 23
418:2x 11x 19
684:2x 2x 3x 3x 19
628:2x 2x 157
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 19 = 608
Therefore, the value for common factors is 608.
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 = 52794250071552/(1x608)
LCM = 52794250071552/608
LCM = 86832648144
Thus, we can understand that the LCM of 799,368,418,684,628 is 86832648144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 799, 368, 418, 684, 628
1. What is the LCM of 799, 368, 418, 684, 628?
Answer: LCM of 799, 368, 418, 684, 628 is 86832648144.
2. How to calculate the LCM of 799, 368, 418, 684, 628?
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 799, 368, 418, 684, 628.
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}.