LCM of 861, 600, 108, 804, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 600, 108, 804, 523 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 861, 600, 108, 804, 523. So, keep reading to learn more.
Given numbers are 861,600,108,804,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,600,108,804,523 is 54306541800.
Find LCM of 861,600,108,804,523 with Prime Factorization
| 2 | 861, 600, 108, 804, 523 |
| 2 | 861, 300, 54, 402, 523 |
| 3 | 861, 150, 27, 201, 523 |
| 287, 50, 9, 67, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 287 x 50 x 9 x 67 x 523 = 54306541800
Therefore, the lowest common multiple of 861,600,108,804,523 is 54306541800.
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.
861 x 600 x 108 x 804 x 523 = 23460426057600
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,600,108,804,523, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
600:2x 2x 2x 3x 5x 5
108:2x 2x 3x 3x 3
804:2x 2x 3x 67
523:523
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 23460426057600/(1x432)
LCM = 23460426057600/432
LCM = 54306541800
Thus, we can understand that the LCM of 861,600,108,804,523 is 54306541800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 861, 600, 108, 804, 523
1. What is the LCM of 861, 600, 108, 804, 523?
Answer: LCM of 861, 600, 108, 804, 523 is 54306541800.
2. How to calculate the LCM of 861, 600, 108, 804, 523?
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 861, 600, 108, 804, 523.
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}.