Find the LCM of 974, 979, 107, 323, 260 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 974, 979, 107, 323, 260. So, keep reading to learn more.
Given numbers are 974,979,107,323,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,979,107,323,260 is 4284215429780.
Find LCM of 974,979,107,323,260 with Prime Factorization
2 | 974, 979, 107, 323, 260 |
487, 979, 107, 323, 130 |
Multiply the prime numbers at the bottom and the left side.
2 x 487 x 979 x 107 x 323 x 130 = 4284215429780
Therefore, the lowest common multiple of 974,979,107,323,260 is 4284215429780.
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.
974 x 979 x 107 x 323 x 260 = 8568430859560
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.
974 : 1, 2, 487, 974
979 : 1, 11, 89, 979
107 : 1, 107
323 : 1, 17, 19, 323
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,979,107,323,260, is 1.
Now, the common factors can be found like this.
974:2x 487
979:11x 89
107:107
323:17x 19
260:2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 8568430859560/(1x2)
LCM = 8568430859560/2
LCM = 4284215429780
Thus, we can understand that the LCM of 974,979,107,323,260 is 4284215429780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 979, 107, 323, 260?
Answer: LCM of 974, 979, 107, 323, 260 is 4284215429780.
2. How to calculate the LCM of 974, 979, 107, 323, 260?
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 974, 979, 107, 323, 260.
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}.