LCM of 456, 827, 680, 578, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 827, 680, 578, 317 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 456, 827, 680, 578, 317. So, keep reading to learn more.
Given numbers are 456,827,680,578,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,827,680,578,317 is 172741808280.
Find LCM of 456,827,680,578,317 with Prime Factorization
| 2 | 456, 827, 680, 578, 317 |
| 2 | 228, 827, 340, 289, 317 |
| 2 | 114, 827, 170, 289, 317 |
| 17 | 57, 827, 85, 289, 317 |
| 57, 827, 5, 17, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 57 x 827 x 5 x 17 x 317 = 172741808280
Therefore, the lowest common multiple of 456,827,680,578,317 is 172741808280.
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.
456 x 827 x 680 x 578 x 317 = 46985771852160
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
827 : 1, 827
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
578 : 1, 2, 17, 34, 289, 578
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,827,680,578,317, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
827:827
680:2x 2x 2x 5x 17
578:2x 17x 17
317:317
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 17 = 272
Therefore, the value for common factors is 272.
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 = 46985771852160/(1x272)
LCM = 46985771852160/272
LCM = 172741808280
Thus, we can understand that the LCM of 456,827,680,578,317 is 172741808280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 456, 827, 680, 578, 317
1. What is the LCM of 456, 827, 680, 578, 317?
Answer: LCM of 456, 827, 680, 578, 317 is 172741808280.
2. How to calculate the LCM of 456, 827, 680, 578, 317?
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 456, 827, 680, 578, 317.
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}.