Find the LCM of 573, 899, 764, 826, 484 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 573, 899, 764, 826, 484. So, keep reading to learn more.
Given numbers are 573,899,764,826,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,899,764,826,484 is 102969766284.
Find LCM of 573,899,764,826,484 with Prime Factorization
2 | 573, 899, 764, 826, 484 |
2 | 573, 899, 382, 413, 242 |
191 | 573, 899, 191, 413, 121 |
3, 899, 1, 413, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 3 x 899 x 1 x 413 x 121 = 102969766284
Therefore, the lowest common multiple of 573,899,764,826,484 is 102969766284.
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.
573 x 899 x 764 x 826 x 484 = 157337802881952
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.
573 : 1, 3, 191, 573
899 : 1, 29, 31, 899
764 : 1, 2, 4, 191, 382, 764
826 : 1, 2, 7, 14, 59, 118, 413, 826
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,899,764,826,484, is 1.
Now, the common factors can be found like this.
573:3x 191
899:29x 31
764:2x 2x 191
826:2x 7x 59
484:2x 2x 11x 11
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 191 = 1528
Therefore, the value for common factors is 1528.
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 = 157337802881952/(1x1528)
LCM = 157337802881952/1528
LCM = 102969766284
Thus, we can understand that the LCM of 573,899,764,826,484 is 102969766284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 899, 764, 826, 484?
Answer: LCM of 573, 899, 764, 826, 484 is 102969766284.
2. How to calculate the LCM of 573, 899, 764, 826, 484?
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 573, 899, 764, 826, 484.
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}.