LCM of 959, 667, 469, 201, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 667, 469, 201, 906 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 959, 667, 469, 201, 906. So, keep reading to learn more.
Given numbers are 959,667,469,201,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,667,469,201,906 is 38828216406.
Find LCM of 959,667,469,201,906 with Prime Factorization
| 3 | 959, 667, 469, 201, 906 |
| 7 | 959, 667, 469, 67, 302 |
| 67 | 137, 667, 67, 67, 302 |
| 137, 667, 1, 1, 302 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 67 x 137 x 667 x 1 x 1 x 302 = 38828216406
Therefore, the lowest common multiple of 959,667,469,201,906 is 38828216406.
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.
959 x 667 x 469 x 201 x 906 = 54631300483242
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.
959 : 1, 7, 137, 959
667 : 1, 23, 29, 667
469 : 1, 7, 67, 469
201 : 1, 3, 67, 201
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,667,469,201,906, is 1.
Now, the common factors can be found like this.
959:7x 137
667:23x 29
469:7x 67
201:3x 67
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 67 = 1407
Therefore, the value for common factors is 1407.
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 = 54631300483242/(1x1407)
LCM = 54631300483242/1407
LCM = 38828216406
Thus, we can understand that the LCM of 959,667,469,201,906 is 38828216406.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 667, 469, 201, 906
1. What is the LCM of 959, 667, 469, 201, 906?
Answer: LCM of 959, 667, 469, 201, 906 is 38828216406.
2. How to calculate the LCM of 959, 667, 469, 201, 906?
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 959, 667, 469, 201, 906.
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}.