LCM of 595, 209, 507, 896, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 209, 507, 896, 912 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 595, 209, 507, 896, 912. So, keep reading to learn more.
Given numbers are 595,209,507,896,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,209,507,896,912 is 8070142080.
Find LCM of 595,209,507,896,912 with Prime Factorization
| 2 | 595, 209, 507, 896, 912 |
| 2 | 595, 209, 507, 448, 456 |
| 2 | 595, 209, 507, 224, 228 |
| 2 | 595, 209, 507, 112, 114 |
| 3 | 595, 209, 507, 56, 57 |
| 7 | 595, 209, 169, 56, 19 |
| 19 | 85, 209, 169, 8, 19 |
| 85, 11, 169, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 19 x 85 x 11 x 169 x 8 x 1 = 8070142080
Therefore, the lowest common multiple of 595,209,507,896,912 is 8070142080.
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.
595 x 209 x 507 x 896 x 912 = 51519787038720
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
209 : 1, 11, 19, 209
507 : 1, 3, 13, 39, 169, 507
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,209,507,896,912, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
209:11x 19
507:3x 13x 13
896:2x 2x 2x 2x 2x 2x 2x 7
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 7x 19 = 6384
Therefore, the value for common factors is 6384.
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 = 51519787038720/(1x6384)
LCM = 51519787038720/6384
LCM = 8070142080
Thus, we can understand that the LCM of 595,209,507,896,912 is 8070142080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 209, 507, 896, 912
1. What is the LCM of 595, 209, 507, 896, 912?
Answer: LCM of 595, 209, 507, 896, 912 is 8070142080.
2. How to calculate the LCM of 595, 209, 507, 896, 912?
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 595, 209, 507, 896, 912.
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}.