LCM of 715, 280, 460, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 280, 460, 682 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, 280, 460, 682. So, keep reading to learn more.
Given numbers are 715,280,460,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,280,460,682 is 28548520.
Find LCM of 715,280,460,682 with Prime Factorization
| 2 | 715, 280, 460, 682 |
| 2 | 715, 140, 230, 341 |
| 5 | 715, 70, 115, 341 |
| 11 | 143, 14, 23, 341 |
| 13, 14, 23, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 14 x 23 x 31 = 28548520
Therefore, the lowest common multiple of 715,280,460,682 is 28548520.
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 280 x 460 x 682 = 62806744000
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,280,460,682, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
280:2x 2x 2x 5x 7
460:2x 2x 5x 23
682:2x 11x 31
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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 62806744000/(1x2200)
LCM = 62806744000/2200
LCM = 28548520
Thus, we can understand that the LCM of 715,280,460,682 is 28548520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 280, 460, 682
1. What is the LCM of 715, 280, 460, 682?
Answer: LCM of 715, 280, 460, 682 is 28548520.
2. How to calculate the LCM of 715, 280, 460, 682?
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, 280, 460, 682.
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}.