Find the LCM of 798, 766, 329, 880, 380 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 798, 766, 329, 880, 380. So, keep reading to learn more.
Given numbers are 798,766,329,880,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,766,329,880,380 is 6320511120.
Find LCM of 798,766,329,880,380 with Prime Factorization
2 | 798, 766, 329, 880, 380 |
2 | 399, 383, 329, 440, 190 |
5 | 399, 383, 329, 220, 95 |
7 | 399, 383, 329, 44, 19 |
19 | 57, 383, 47, 44, 19 |
3, 383, 47, 44, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 19 x 3 x 383 x 47 x 44 x 1 = 6320511120
Therefore, the lowest common multiple of 798,766,329,880,380 is 6320511120.
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.
798 x 766 x 329 x 880 x 380 = 67250238316800
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
766 : 1, 2, 383, 766
329 : 1, 7, 47, 329
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,766,329,880,380, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
766:2x 383
329:7x 47
880:2x 2x 2x 2x 5x 11
380:2x 2x 5x 19
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 5x 7x 19 = 10640
Therefore, the value for common factors is 10640.
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 = 67250238316800/(1x10640)
LCM = 67250238316800/10640
LCM = 6320511120
Thus, we can understand that the LCM of 798,766,329,880,380 is 6320511120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 766, 329, 880, 380?
Answer: LCM of 798, 766, 329, 880, 380 is 6320511120.
2. How to calculate the LCM of 798, 766, 329, 880, 380?
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 798, 766, 329, 880, 380.
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}.