LCM of 586, 923, 780, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 923, 780, 714 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, 923, 780, 714. So, keep reading to learn more.
Given numbers are 586,923,780,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,923,780,714 is 1930934460.
Find LCM of 586,923,780,714 with Prime Factorization
| 2 | 586, 923, 780, 714 |
| 3 | 293, 923, 390, 357 |
| 13 | 293, 923, 130, 119 |
| 293, 71, 10, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 293 x 71 x 10 x 119 = 1930934460
Therefore, the lowest common multiple of 586,923,780,714 is 1930934460.
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 923 x 780 x 714 = 301225775760
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
923 : 1, 13, 71, 923
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,923,780,714, is 1.
Now, the common factors can be found like this.
586:2x 293
923:13x 71
780:2x 2x 3x 5x 13
714:2x 3x 7x 17
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 = 301225775760/(1x156)
LCM = 301225775760/156
LCM = 1930934460
Thus, we can understand that the LCM of 586,923,780,714 is 1930934460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 923, 780, 714
1. What is the LCM of 586, 923, 780, 714?
Answer: LCM of 586, 923, 780, 714 is 1930934460.
2. How to calculate the LCM of 586, 923, 780, 714?
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, 923, 780, 714.
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}.