LCM of 726, 425, 828, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 425, 828, 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 726, 425, 828, 682. So, keep reading to learn more.
Given numbers are 726,425,828,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,425,828,682 is 1319976900.
Find LCM of 726,425,828,682 with Prime Factorization
| 2 | 726, 425, 828, 682 |
| 3 | 363, 425, 414, 341 |
| 11 | 121, 425, 138, 341 |
| 11, 425, 138, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 425 x 138 x 31 = 1319976900
Therefore, the lowest common multiple of 726,425,828,682 is 1319976900.
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.
726 x 425 x 828 x 682 = 174236950800
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
425 : 1, 5, 17, 25, 85, 425
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 726,425,828,682, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
425:5x 5x 17
828:2x 2x 3x 3x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 174236950800/(1x132)
LCM = 174236950800/132
LCM = 1319976900
Thus, we can understand that the LCM of 726,425,828,682 is 1319976900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 726, 425, 828, 682
1. What is the LCM of 726, 425, 828, 682?
Answer: LCM of 726, 425, 828, 682 is 1319976900.
2. How to calculate the LCM of 726, 425, 828, 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 726, 425, 828, 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}.