Find the LCM of 596, 760, 605, 412, 930 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 596, 760, 605, 412, 930. So, keep reading to learn more.
Given numbers are 596,760,605,412,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,760,605,412,930 is 131251841160.
Find LCM of 596,760,605,412,930 with Prime Factorization
2 | 596, 760, 605, 412, 930 |
2 | 298, 380, 605, 206, 465 |
5 | 149, 190, 605, 103, 465 |
149, 38, 121, 103, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 149 x 38 x 121 x 103 x 93 = 131251841160
Therefore, the lowest common multiple of 596,760,605,412,930 is 131251841160.
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.
596 x 760 x 605 x 412 x 930 = 105001472928000
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.
596 : 1, 2, 4, 149, 298, 596
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
605 : 1, 5, 11, 55, 121, 605
412 : 1, 2, 4, 103, 206, 412
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,760,605,412,930, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
760:2x 2x 2x 5x 19
605:5x 11x 11
412:2x 2x 103
930:2x 3x 5x 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 2x 2x 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 105001472928000/(1x800)
LCM = 105001472928000/800
LCM = 131251841160
Thus, we can understand that the LCM of 596,760,605,412,930 is 131251841160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 760, 605, 412, 930?
Answer: LCM of 596, 760, 605, 412, 930 is 131251841160.
2. How to calculate the LCM of 596, 760, 605, 412, 930?
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 596, 760, 605, 412, 930.
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}.