LCM of 557, 840, 590, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 840, 590, 413 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, 840, 590, 413. So, keep reading to learn more.
Given numbers are 557,840,590,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,840,590,413 is 27604920.
Find LCM of 557,840,590,413 with Prime Factorization
| 2 | 557, 840, 590, 413 |
| 5 | 557, 420, 295, 413 |
| 7 | 557, 84, 59, 413 |
| 59 | 557, 12, 59, 59 |
| 557, 12, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 59 x 557 x 12 x 1 x 1 = 27604920
Therefore, the lowest common multiple of 557,840,590,413 is 27604920.
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 840 x 590 x 413 = 114008319600
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
590 : 1, 2, 5, 10, 59, 118, 295, 590
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,840,590,413, is 1.
Now, the common factors can be found like this.
557:557
840:2x 2x 2x 3x 5x 7
590:2x 5x 59
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 59 = 4130
Therefore, the value for common factors is 4130.
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 = 114008319600/(1x4130)
LCM = 114008319600/4130
LCM = 27604920
Thus, we can understand that the LCM of 557,840,590,413 is 27604920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 840, 590, 413
1. What is the LCM of 557, 840, 590, 413?
Answer: LCM of 557, 840, 590, 413 is 27604920.
2. How to calculate the LCM of 557, 840, 590, 413?
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, 840, 590, 413.
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}.