LCM of 586, 470, 786, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 470, 786, 470 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 586, 470, 786, 470. So, keep reading to learn more.
Given numbers are 586,470,786,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,470,786,470 is 54120030.
Find LCM of 586,470,786,470 with Prime Factorization
| 2 | 586, 470, 786, 470 |
| 5 | 293, 235, 393, 235 |
| 47 | 293, 47, 393, 47 |
| 293, 1, 393, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 293 x 1 x 393 x 1 = 54120030
Therefore, the lowest common multiple of 586,470,786,470 is 54120030.
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.
586 x 470 x 786 x 470 = 101745656400
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.
586 : 1, 2, 293, 586
470 : 1, 2, 5, 10, 47, 94, 235, 470
786 : 1, 2, 3, 6, 131, 262, 393, 786
470 : 1, 2, 5, 10, 47, 94, 235, 470
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,470,786,470, is 2.
Now, the common factors can be found like this.
586:2x 293
470:2x 5x 47
786:2x 3x 131
470:2x 5x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 101745656400/(2x940)
LCM = 101745656400/1880
LCM = 54120030
Thus, we can understand that the LCM of 586,470,786,470 is 54120030.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 586, 470, 786, 470
1. What is the LCM of 586, 470, 786, 470?
Answer: LCM of 586, 470, 786, 470 is 54120030.
2. How to calculate the LCM of 586, 470, 786, 470?
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 586, 470, 786, 470.
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}.