LCM of 437, 103, 845, 559, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 103, 845, 559, 345 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 437, 103, 845, 559, 345. So, keep reading to learn more.
Given numbers are 437,103,845,559,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,103,845,559,345 is 4906424055.
Find LCM of 437,103,845,559,345 with Prime Factorization
| 5 | 437, 103, 845, 559, 345 |
| 13 | 437, 103, 169, 559, 69 |
| 23 | 437, 103, 13, 43, 69 |
| 19, 103, 13, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 19 x 103 x 13 x 43 x 3 = 4906424055
Therefore, the lowest common multiple of 437,103,845,559,345 is 4906424055.
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.
437 x 103 x 845 x 559 x 345 = 7335103962225
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.
437 : 1, 19, 23, 437
103 : 1, 103
845 : 1, 5, 13, 65, 169, 845
559 : 1, 13, 43, 559
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,103,845,559,345, is 1.
Now, the common factors can be found like this.
437:19x 23
103:103
845:5x 13x 13
559:13x 43
345:3x 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.
5x 13x 23 = 1495
Therefore, the value for common factors is 1495.
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 = 7335103962225/(1x1495)
LCM = 7335103962225/1495
LCM = 4906424055
Thus, we can understand that the LCM of 437,103,845,559,345 is 4906424055.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 437, 103, 845, 559, 345
1. What is the LCM of 437, 103, 845, 559, 345?
Answer: LCM of 437, 103, 845, 559, 345 is 4906424055.
2. How to calculate the LCM of 437, 103, 845, 559, 345?
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 437, 103, 845, 559, 345.
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}.