LCM of 866, 390, 689, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 390, 689, 920 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 866, 390, 689, 920. So, keep reading to learn more.
Given numbers are 866,390,689,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,390,689,920 is 823410120.
Find LCM of 866,390,689,920 with Prime Factorization
| 2 | 866, 390, 689, 920 |
| 5 | 433, 195, 689, 460 |
| 13 | 433, 39, 689, 92 |
| 433, 3, 53, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 433 x 3 x 53 x 92 = 823410120
Therefore, the lowest common multiple of 866,390,689,920 is 823410120.
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.
866 x 390 x 689 x 920 = 214086631200
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.
866 : 1, 2, 433, 866
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
689 : 1, 13, 53, 689
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,390,689,920, is 1.
Now, the common factors can be found like this.
866:2x 433
390:2x 3x 5x 13
689:13x 53
920:2x 2x 2x 5x 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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 214086631200/(1x260)
LCM = 214086631200/260
LCM = 823410120
Thus, we can understand that the LCM of 866,390,689,920 is 823410120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 866, 390, 689, 920
1. What is the LCM of 866, 390, 689, 920?
Answer: LCM of 866, 390, 689, 920 is 823410120.
2. How to calculate the LCM of 866, 390, 689, 920?
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 866, 390, 689, 920.
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}.