LCM of 709, 240, 315, 380, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 240, 315, 380, 259 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 709, 240, 315, 380, 259. So, keep reading to learn more.
Given numbers are 709,240,315,380,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,240,315,380,259 is 2512072080.
Find LCM of 709,240,315,380,259 with Prime Factorization
| 2 | 709, 240, 315, 380, 259 |
| 2 | 709, 120, 315, 190, 259 |
| 3 | 709, 60, 315, 95, 259 |
| 5 | 709, 20, 105, 95, 259 |
| 7 | 709, 4, 21, 19, 259 |
| 709, 4, 3, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 709 x 4 x 3 x 19 x 37 = 2512072080
Therefore, the lowest common multiple of 709,240,315,380,259 is 2512072080.
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.
709 x 240 x 315 x 380 x 259 = 5275351368000
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.
709 : 1, 709
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,240,315,380,259, is 1.
Now, the common factors can be found like this.
709:709
240:2x 2x 2x 2x 3x 5
315:3x 3x 5x 7
380:2x 2x 5x 19
259:7x 37
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 5275351368000/(1x2100)
LCM = 5275351368000/2100
LCM = 2512072080
Thus, we can understand that the LCM of 709,240,315,380,259 is 2512072080.
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FAQs on LCM of 709, 240, 315, 380, 259
1. What is the LCM of 709, 240, 315, 380, 259?
Answer: LCM of 709, 240, 315, 380, 259 is 2512072080.
2. How to calculate the LCM of 709, 240, 315, 380, 259?
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 709, 240, 315, 380, 259.
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}.