Find the LCM of 676, 580, 790, 899 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 676, 580, 790, 899. So, keep reading to learn more.
Given numbers are 676,580,790,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,580,790,899 is 240050980.
Find LCM of 676,580,790,899 with Prime Factorization
2 | 676, 580, 790, 899 |
2 | 338, 290, 395, 899 |
5 | 169, 145, 395, 899 |
29 | 169, 29, 79, 899 |
169, 1, 79, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 169 x 1 x 79 x 31 = 240050980
Therefore, the lowest common multiple of 676,580,790,899 is 240050980.
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.
676 x 580 x 790 x 899 = 278459136800
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
790 : 1, 2, 5, 10, 79, 158, 395, 790
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,580,790,899, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
580:2x 2x 5x 29
790:2x 5x 79
899:29x 31
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 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 278459136800/(1x1160)
LCM = 278459136800/1160
LCM = 240050980
Thus, we can understand that the LCM of 676,580,790,899 is 240050980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 580, 790, 899?
Answer: LCM of 676, 580, 790, 899 is 240050980.
2. How to calculate the LCM of 676, 580, 790, 899?
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 676, 580, 790, 899.
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}.