LCM of 607, 480, 391, 876, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 480, 391, 876, 816 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 607, 480, 391, 876, 816. So, keep reading to learn more.
Given numbers are 607,480,391,876,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,480,391,876,816 is 8316288480.
Find LCM of 607,480,391,876,816 with Prime Factorization
| 2 | 607, 480, 391, 876, 816 |
| 2 | 607, 240, 391, 438, 408 |
| 2 | 607, 120, 391, 219, 204 |
| 2 | 607, 60, 391, 219, 102 |
| 3 | 607, 30, 391, 219, 51 |
| 17 | 607, 10, 391, 73, 17 |
| 607, 10, 23, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 607 x 10 x 23 x 73 x 1 = 8316288480
Therefore, the lowest common multiple of 607,480,391,876,816 is 8316288480.
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.
607 x 480 x 391 x 876 x 816 = 81433096796160
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.
607 : 1, 607
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
391 : 1, 17, 23, 391
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,480,391,876,816, is 1.
Now, the common factors can be found like this.
607:607
480:2x 2x 2x 2x 2x 3x 5
391:17x 23
876:2x 2x 3x 73
816:2x 2x 2x 2x 3x 17
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 3x 3x 17 = 9792
Therefore, the value for common factors is 9792.
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 = 81433096796160/(1x9792)
LCM = 81433096796160/9792
LCM = 8316288480
Thus, we can understand that the LCM of 607,480,391,876,816 is 8316288480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 607, 480, 391, 876, 816
1. What is the LCM of 607, 480, 391, 876, 816?
Answer: LCM of 607, 480, 391, 876, 816 is 8316288480.
2. How to calculate the LCM of 607, 480, 391, 876, 816?
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 607, 480, 391, 876, 816.
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}.