LCM of 845, 109, 600, 561, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 109, 600, 561, 405 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 845, 109, 600, 561, 405. So, keep reading to learn more.
Given numbers are 845,109,600,561,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,109,600,561,405 is 55804577400.
Find LCM of 845,109,600,561,405 with Prime Factorization
| 3 | 845, 109, 600, 561, 405 |
| 5 | 845, 109, 200, 187, 135 |
| 169, 109, 40, 187, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 169 x 109 x 40 x 187 x 27 = 55804577400
Therefore, the lowest common multiple of 845,109,600,561,405 is 55804577400.
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.
845 x 109 x 600 x 561 x 405 = 12556029915000
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.
845 : 1, 5, 13, 65, 169, 845
109 : 1, 109
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,109,600,561,405, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
109:109
600:2x 2x 2x 3x 5x 5
561:3x 11x 17
405:3x 3x 3x 3x 5
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 12556029915000/(1x225)
LCM = 12556029915000/225
LCM = 55804577400
Thus, we can understand that the LCM of 845,109,600,561,405 is 55804577400.
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FAQs on LCM of 845, 109, 600, 561, 405
1. What is the LCM of 845, 109, 600, 561, 405?
Answer: LCM of 845, 109, 600, 561, 405 is 55804577400.
2. How to calculate the LCM of 845, 109, 600, 561, 405?
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 845, 109, 600, 561, 405.
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}.