Find the LCM of 518, 135, 932, 595, 945 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 518, 135, 932, 595, 945. So, keep reading to learn more.
Given numbers are 518,135,932,595,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,135,932,595,945 is 553985460.
Find LCM of 518,135,932,595,945 with Prime Factorization
2 | 518, 135, 932, 595, 945 |
3 | 259, 135, 466, 595, 945 |
3 | 259, 45, 466, 595, 315 |
3 | 259, 15, 466, 595, 105 |
5 | 259, 5, 466, 595, 35 |
7 | 259, 1, 466, 119, 7 |
37, 1, 466, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 37 x 1 x 466 x 17 x 1 = 553985460
Therefore, the lowest common multiple of 518,135,932,595,945 is 553985460.
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.
518 x 135 x 932 x 595 x 945 = 36646138179000
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
135 : 1, 3, 5, 9, 15, 27, 45, 135
932 : 1, 2, 4, 233, 466, 932
595 : 1, 5, 7, 17, 35, 85, 119, 595
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,135,932,595,945, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
135:3x 3x 3x 5
932:2x 2x 233
595:5x 7x 17
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 7x 7 = 66150
Therefore, the value for common factors is 66150.
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 = 36646138179000/(1x66150)
LCM = 36646138179000/66150
LCM = 553985460
Thus, we can understand that the LCM of 518,135,932,595,945 is 553985460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 135, 932, 595, 945?
Answer: LCM of 518, 135, 932, 595, 945 is 553985460.
2. How to calculate the LCM of 518, 135, 932, 595, 945?
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 518, 135, 932, 595, 945.
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}.