Find the LCM of 107, 782, 442, 680, 566 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 107, 782, 442, 680, 566. So, keep reading to learn more.
Given numbers are 107,782,442,680,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,782,442,680,566 is 6156732920.
Find LCM of 107,782,442,680,566 with Prime Factorization
2 | 107, 782, 442, 680, 566 |
17 | 107, 391, 221, 340, 283 |
107, 23, 13, 20, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 107 x 23 x 13 x 20 x 283 = 6156732920
Therefore, the lowest common multiple of 107,782,442,680,566 is 6156732920.
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.
107 x 782 x 442 x 680 x 566 = 14234366511040
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.
107 : 1, 107
782 : 1, 2, 17, 23, 34, 46, 391, 782
442 : 1, 2, 13, 17, 26, 34, 221, 442
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,782,442,680,566, is 1.
Now, the common factors can be found like this.
107:107
782:2x 17x 23
442:2x 13x 17
680:2x 2x 2x 5x 17
566:2x 283
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 17x 17 = 2312
Therefore, the value for common factors is 2312.
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 = 14234366511040/(1x2312)
LCM = 14234366511040/2312
LCM = 6156732920
Thus, we can understand that the LCM of 107,782,442,680,566 is 6156732920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 782, 442, 680, 566?
Answer: LCM of 107, 782, 442, 680, 566 is 6156732920.
2. How to calculate the LCM of 107, 782, 442, 680, 566?
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 107, 782, 442, 680, 566.
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}.