LCM of 557, 856, 517, 827, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 856, 517, 827, 792 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 557, 856, 517, 827, 792. So, keep reading to learn more.
Given numbers are 557,856,517,827,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,856,517,827,792 is 1834710396552.
Find LCM of 557,856,517,827,792 with Prime Factorization
| 2 | 557, 856, 517, 827, 792 |
| 2 | 557, 428, 517, 827, 396 |
| 2 | 557, 214, 517, 827, 198 |
| 11 | 557, 107, 517, 827, 99 |
| 557, 107, 47, 827, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 557 x 107 x 47 x 827 x 9 = 1834710396552
Therefore, the lowest common multiple of 557,856,517,827,792 is 1834710396552.
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.
557 x 856 x 517 x 827 x 792 = 161454514896576
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.
557 : 1, 557
856 : 1, 2, 4, 8, 107, 214, 428, 856
517 : 1, 11, 47, 517
827 : 1, 827
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,856,517,827,792, is 1.
Now, the common factors can be found like this.
557:557
856:2x 2x 2x 107
517:11x 47
827:827
792:2x 2x 2x 3x 3x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 161454514896576/(1x88)
LCM = 161454514896576/88
LCM = 1834710396552
Thus, we can understand that the LCM of 557,856,517,827,792 is 1834710396552.
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FAQs on LCM of 557, 856, 517, 827, 792
1. What is the LCM of 557, 856, 517, 827, 792?
Answer: LCM of 557, 856, 517, 827, 792 is 1834710396552.
2. How to calculate the LCM of 557, 856, 517, 827, 792?
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 557, 856, 517, 827, 792.
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}.