LCM of 726, 434, 102, 414, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 434, 102, 414, 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, 434, 102, 414, 682. So, keep reading to learn more.
Given numbers are 726,434,102,414,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,434,102,414,682 is 184796766.
Find LCM of 726,434,102,414,682 with Prime Factorization
| 2 | 726, 434, 102, 414, 682 |
| 3 | 363, 217, 51, 207, 341 |
| 11 | 121, 217, 17, 69, 341 |
| 31 | 11, 217, 17, 69, 31 |
| 11, 7, 17, 69, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 11 x 7 x 17 x 69 x 1 = 184796766
Therefore, the lowest common multiple of 726,434,102,414,682 is 184796766.
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 434 x 102 x 414 x 682 = 9074260397664
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
434 : 1, 2, 7, 14, 31, 62, 217, 434
102 : 1, 2, 3, 6, 17, 34, 51, 102
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
682 : 1, 2, 11, 22, 31, 62, 341, 682
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,434,102,414,682, is 2.
Now, the common factors can be found like this.
726:2x 3x 11x 11
434:2x 7x 31
102:2x 3x 17
414:2x 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 2x 3x 3x 11x 31 = 24552
Therefore, the value for common factors is 24552.
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 = 9074260397664/(2x24552)
LCM = 9074260397664/49104
LCM = 184796766
Thus, we can understand that the LCM of 726,434,102,414,682 is 184796766.
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FAQs on LCM of 726, 434, 102, 414, 682
1. What is the LCM of 726, 434, 102, 414, 682?
Answer: LCM of 726, 434, 102, 414, 682 is 184796766.
2. How to calculate the LCM of 726, 434, 102, 414, 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, 434, 102, 414, 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}.