Find the LCM of 799, 880, 782, 286, 508 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 799, 880, 782, 286, 508. So, keep reading to learn more.
Given numbers are 799,880,782,286,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,880,782,286,508 is 26699575760.
Find LCM of 799,880,782,286,508 with Prime Factorization
2 | 799, 880, 782, 286, 508 |
2 | 799, 440, 391, 143, 254 |
11 | 799, 220, 391, 143, 127 |
17 | 799, 20, 391, 13, 127 |
47, 20, 23, 13, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 47 x 20 x 23 x 13 x 127 = 26699575760
Therefore, the lowest common multiple of 799,880,782,286,508 is 26699575760.
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.
799 x 880 x 782 x 286 x 508 = 79885130673920
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.
799 : 1, 17, 47, 799
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
782 : 1, 2, 17, 23, 34, 46, 391, 782
286 : 1, 2, 11, 13, 22, 26, 143, 286
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,880,782,286,508, is 1.
Now, the common factors can be found like this.
799:17x 47
880:2x 2x 2x 2x 5x 11
782:2x 17x 23
286:2x 11x 13
508:2x 2x 127
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 2x 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 79885130673920/(1x2992)
LCM = 79885130673920/2992
LCM = 26699575760
Thus, we can understand that the LCM of 799,880,782,286,508 is 26699575760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 880, 782, 286, 508?
Answer: LCM of 799, 880, 782, 286, 508 is 26699575760.
2. How to calculate the LCM of 799, 880, 782, 286, 508?
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 799, 880, 782, 286, 508.
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}.