Find the LCM of 200, 838, 856, 785, 505 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 200, 838, 856, 785, 505. So, keep reading to learn more.
Given numbers are 200,838,856,785,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,838,856,785,505 is 142183376200.
Find LCM of 200,838,856,785,505 with Prime Factorization
2 | 200, 838, 856, 785, 505 |
2 | 100, 419, 428, 785, 505 |
2 | 50, 419, 214, 785, 505 |
5 | 25, 419, 107, 785, 505 |
5, 419, 107, 157, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 419 x 107 x 157 x 101 = 142183376200
Therefore, the lowest common multiple of 200,838,856,785,505 is 142183376200.
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.
200 x 838 x 856 x 785 x 505 = 56873350480000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
838 : 1, 2, 419, 838
856 : 1, 2, 4, 8, 107, 214, 428, 856
785 : 1, 5, 157, 785
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,838,856,785,505, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
838:2x 419
856:2x 2x 2x 107
785:5x 157
505:5x 101
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 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 56873350480000/(1x400)
LCM = 56873350480000/400
LCM = 142183376200
Thus, we can understand that the LCM of 200,838,856,785,505 is 142183376200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 838, 856, 785, 505?
Answer: LCM of 200, 838, 856, 785, 505 is 142183376200.
2. How to calculate the LCM of 200, 838, 856, 785, 505?
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 200, 838, 856, 785, 505.
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}.