LCM of 405, 101, 675, 619, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 101, 675, 619, 926 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 405, 101, 675, 619, 926. So, keep reading to learn more.
Given numbers are 405,101,675,619,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,101,675,619,926 is 117232502850.
Find LCM of 405,101,675,619,926 with Prime Factorization
| 3 | 405, 101, 675, 619, 926 |
| 3 | 135, 101, 225, 619, 926 |
| 3 | 45, 101, 75, 619, 926 |
| 5 | 15, 101, 25, 619, 926 |
| 3, 101, 5, 619, 926 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 3 x 101 x 5 x 619 x 926 = 117232502850
Therefore, the lowest common multiple of 405,101,675,619,926 is 117232502850.
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.
405 x 101 x 675 x 619 x 926 = 15826387884750
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
101 : 1, 101
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
619 : 1, 619
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,101,675,619,926, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
101:101
675:3x 3x 3x 5x 5
619:619
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 15826387884750/(1x135)
LCM = 15826387884750/135
LCM = 117232502850
Thus, we can understand that the LCM of 405,101,675,619,926 is 117232502850.
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FAQs on LCM of 405, 101, 675, 619, 926
1. What is the LCM of 405, 101, 675, 619, 926?
Answer: LCM of 405, 101, 675, 619, 926 is 117232502850.
2. How to calculate the LCM of 405, 101, 675, 619, 926?
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 405, 101, 675, 619, 926.
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}.