Find the LCM of 573, 438, 687, 803 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, 438, 687, 803. So, keep reading to learn more.
Given numbers are 573,438,687,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,438,687,803 is 210734502.
Find LCM of 573,438,687,803 with Prime Factorization
3 | 573, 438, 687, 803 |
73 | 191, 146, 229, 803 |
191, 2, 229, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 191 x 2 x 229 x 11 = 210734502
Therefore, the lowest common multiple of 573,438,687,803 is 210734502.
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 438 x 687 x 803 = 138452567814
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
687 : 1, 3, 229, 687
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,438,687,803, is 1.
Now, the common factors can be found like this.
573:3x 191
438:2x 3x 73
687:3x 229
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 73 = 657
Therefore, the value for common factors is 657.
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 = 138452567814/(1x657)
LCM = 138452567814/657
LCM = 210734502
Thus, we can understand that the LCM of 573,438,687,803 is 210734502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 438, 687, 803?
Answer: LCM of 573, 438, 687, 803 is 210734502.
2. How to calculate the LCM of 573, 438, 687, 803?
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, 438, 687, 803.
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}.