LCM of 557, 416, 629, 760, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 416, 629, 760, 861 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, 416, 629, 760, 861. So, keep reading to learn more.
Given numbers are 557,416,629,760,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,416,629,760,861 is 11921363432160.
Find LCM of 557,416,629,760,861 with Prime Factorization
| 2 | 557, 416, 629, 760, 861 |
| 2 | 557, 208, 629, 380, 861 |
| 2 | 557, 104, 629, 190, 861 |
| 557, 52, 629, 95, 861 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 557 x 52 x 629 x 95 x 861 = 11921363432160
Therefore, the lowest common multiple of 557,416,629,760,861 is 11921363432160.
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 416 x 629 x 760 x 861 = 95370907457280
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
629 : 1, 17, 37, 629
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,416,629,760,861, is 1.
Now, the common factors can be found like this.
557:557
416:2x 2x 2x 2x 2x 13
629:17x 37
760:2x 2x 2x 5x 19
861:3x 7x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 95370907457280/(1x8)
LCM = 95370907457280/8
LCM = 11921363432160
Thus, we can understand that the LCM of 557,416,629,760,861 is 11921363432160.
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FAQs on LCM of 557, 416, 629, 760, 861
1. What is the LCM of 557, 416, 629, 760, 861?
Answer: LCM of 557, 416, 629, 760, 861 is 11921363432160.
2. How to calculate the LCM of 557, 416, 629, 760, 861?
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, 416, 629, 760, 861.
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}.