Find the LCM of 195, 758, 507, 854, 944 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 195, 758, 507, 854, 944. So, keep reading to learn more.
Given numbers are 195,758,507,854,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,758,507,854,944 is 387272842320.
Find LCM of 195,758,507,854,944 with Prime Factorization
2 | 195, 758, 507, 854, 944 |
3 | 195, 379, 507, 427, 472 |
13 | 65, 379, 169, 427, 472 |
5, 379, 13, 427, 472 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 5 x 379 x 13 x 427 x 472 = 387272842320
Therefore, the lowest common multiple of 195,758,507,854,944 is 387272842320.
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.
195 x 758 x 507 x 854 x 944 = 60414563401920
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
758 : 1, 2, 379, 758
507 : 1, 3, 13, 39, 169, 507
854 : 1, 2, 7, 14, 61, 122, 427, 854
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,758,507,854,944, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
758:2x 379
507:3x 13x 13
854:2x 7x 61
944:2x 2x 2x 2x 59
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 60414563401920/(1x156)
LCM = 60414563401920/156
LCM = 387272842320
Thus, we can understand that the LCM of 195,758,507,854,944 is 387272842320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 758, 507, 854, 944?
Answer: LCM of 195, 758, 507, 854, 944 is 387272842320.
2. How to calculate the LCM of 195, 758, 507, 854, 944?
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 195, 758, 507, 854, 944.
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}.