LCM of 724, 810, 204, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 810, 204, 391 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 724, 810, 204, 391. So, keep reading to learn more.
Given numbers are 724,810,204,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,810,204,391 is 114649020.
Find LCM of 724,810,204,391 with Prime Factorization
| 2 | 724, 810, 204, 391 |
| 2 | 362, 405, 102, 391 |
| 3 | 181, 405, 51, 391 |
| 17 | 181, 135, 17, 391 |
| 181, 135, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 181 x 135 x 1 x 23 = 114649020
Therefore, the lowest common multiple of 724,810,204,391 is 114649020.
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.
724 x 810 x 204 x 391 = 46776800160
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.
724 : 1, 2, 4, 181, 362, 724
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,810,204,391, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
810:2x 3x 3x 3x 3x 5
204:2x 2x 3x 17
391:17x 23
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 46776800160/(1x408)
LCM = 46776800160/408
LCM = 114649020
Thus, we can understand that the LCM of 724,810,204,391 is 114649020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 810, 204, 391
1. What is the LCM of 724, 810, 204, 391?
Answer: LCM of 724, 810, 204, 391 is 114649020.
2. How to calculate the LCM of 724, 810, 204, 391?
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 724, 810, 204, 391.
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}.