LCM of 715, 432, 806, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 432, 806, 560 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 715, 432, 806, 560. So, keep reading to learn more.
Given numbers are 715,432,806,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,432,806,560 is 67026960.
Find LCM of 715,432,806,560 with Prime Factorization
| 2 | 715, 432, 806, 560 |
| 2 | 715, 216, 403, 280 |
| 2 | 715, 108, 403, 140 |
| 2 | 715, 54, 403, 70 |
| 5 | 715, 27, 403, 35 |
| 13 | 143, 27, 403, 7 |
| 11, 27, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 11 x 27 x 31 x 7 = 67026960
Therefore, the lowest common multiple of 715,432,806,560 is 67026960.
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.
715 x 432 x 806 x 560 = 139416076800
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
806 : 1, 2, 13, 26, 31, 62, 403, 806
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,432,806,560, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
432:2x 2x 2x 2x 3x 3x 3
806:2x 13x 31
560:2x 2x 2x 2x 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 2x 2x 2x 2x 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 139416076800/(1x2080)
LCM = 139416076800/2080
LCM = 67026960
Thus, we can understand that the LCM of 715,432,806,560 is 67026960.
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FAQs on LCM of 715, 432, 806, 560
1. What is the LCM of 715, 432, 806, 560?
Answer: LCM of 715, 432, 806, 560 is 67026960.
2. How to calculate the LCM of 715, 432, 806, 560?
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 715, 432, 806, 560.
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}.