Find the LCM of 582, 776, 725, 485, 211 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 582, 776, 725, 485, 211. So, keep reading to learn more.
Given numbers are 582,776,725,485,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,776,725,485,211 is 356125800.
Find LCM of 582,776,725,485,211 with Prime Factorization
2 | 582, 776, 725, 485, 211 |
5 | 291, 388, 725, 485, 211 |
97 | 291, 388, 145, 97, 211 |
3, 4, 145, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 3 x 4 x 145 x 1 x 211 = 356125800
Therefore, the lowest common multiple of 582,776,725,485,211 is 356125800.
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.
582 x 776 x 725 x 485 x 211 = 33507876522000
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
776 : 1, 2, 4, 8, 97, 194, 388, 776
725 : 1, 5, 25, 29, 145, 725
485 : 1, 5, 97, 485
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,776,725,485,211, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
776:2x 2x 2x 97
725:5x 5x 29
485:5x 97
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 97x 97 = 94090
Therefore, the value for common factors is 94090.
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 = 33507876522000/(1x94090)
LCM = 33507876522000/94090
LCM = 356125800
Thus, we can understand that the LCM of 582,776,725,485,211 is 356125800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 776, 725, 485, 211?
Answer: LCM of 582, 776, 725, 485, 211 is 356125800.
2. How to calculate the LCM of 582, 776, 725, 485, 211?
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 582, 776, 725, 485, 211.
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}.