LCM of 596, 856, 927, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 856, 927, 580 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, 856, 927, 580. So, keep reading to learn more.
Given numbers are 596,856,927,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,856,927,580 is 17143826760.
Find LCM of 596,856,927,580 with Prime Factorization
| 2 | 596, 856, 927, 580 |
| 2 | 298, 428, 927, 290 |
| 149, 214, 927, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 149 x 214 x 927 x 145 = 17143826760
Therefore, the lowest common multiple of 596,856,927,580 is 17143826760.
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 856 x 927 x 580 = 274301228160
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
927 : 1, 3, 9, 103, 309, 927
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,856,927,580, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
856:2x 2x 2x 107
927:3x 3x 103
580:2x 2x 5x 29
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 2 = 16
Therefore, the value for common factors is 16.
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 = 274301228160/(1x16)
LCM = 274301228160/16
LCM = 17143826760
Thus, we can understand that the LCM of 596,856,927,580 is 17143826760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 596, 856, 927, 580
1. What is the LCM of 596, 856, 927, 580?
Answer: LCM of 596, 856, 927, 580 is 17143826760.
2. How to calculate the LCM of 596, 856, 927, 580?
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, 856, 927, 580.
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}.