Find the LCM of 310, 979, 560, 966, 741 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 310, 979, 560, 966, 741. So, keep reading to learn more.
Given numbers are 310,979,560,966,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,979,560,966,741 is 289653283920.
Find LCM of 310,979,560,966,741 with Prime Factorization
2 | 310, 979, 560, 966, 741 |
3 | 155, 979, 280, 483, 741 |
5 | 155, 979, 280, 161, 247 |
7 | 31, 979, 56, 161, 247 |
31, 979, 8, 23, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 31 x 979 x 8 x 23 x 247 = 289653283920
Therefore, the lowest common multiple of 310,979,560,966,741 is 289653283920.
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.
310 x 979 x 560 x 966 x 741 = 121654379246400
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
979 : 1, 11, 89, 979
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,979,560,966,741, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
979:11x 89
560:2x 2x 2x 2x 5x 7
966:2x 3x 7x 23
741:3x 13x 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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 121654379246400/(1x420)
LCM = 121654379246400/420
LCM = 289653283920
Thus, we can understand that the LCM of 310,979,560,966,741 is 289653283920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 979, 560, 966, 741?
Answer: LCM of 310, 979, 560, 966, 741 is 289653283920.
2. How to calculate the LCM of 310, 979, 560, 966, 741?
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 310, 979, 560, 966, 741.
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}.