Find the LCM of 557, 680, 679, 485, 831 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, 680, 679, 485, 831. So, keep reading to learn more.
Given numbers are 557,680,679,485,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,680,679,485,831 is 213714951240.
Find LCM of 557,680,679,485,831 with Prime Factorization
5 | 557, 680, 679, 485, 831 |
97 | 557, 136, 679, 97, 831 |
557, 136, 7, 1, 831 |
Multiply the prime numbers at the bottom and the left side.
5 x 97 x 557 x 136 x 7 x 1 x 831 = 213714951240
Therefore, the lowest common multiple of 557,680,679,485,831 is 213714951240.
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 680 x 679 x 485 x 831 = 103651751351400
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
679 : 1, 7, 97, 679
485 : 1, 5, 97, 485
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,680,679,485,831, is 1.
Now, the common factors can be found like this.
557:557
680:2x 2x 2x 5x 17
679:7x 97
485:5x 97
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 97 = 485
Therefore, the value for common factors is 485.
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 = 103651751351400/(1x485)
LCM = 103651751351400/485
LCM = 213714951240
Thus, we can understand that the LCM of 557,680,679,485,831 is 213714951240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 680, 679, 485, 831?
Answer: LCM of 557, 680, 679, 485, 831 is 213714951240.
2. How to calculate the LCM of 557, 680, 679, 485, 831?
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, 680, 679, 485, 831.
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}.