Find the LCM of 200, 613, 993, 993, 926 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, 613, 993, 993, 926. So, keep reading to learn more.
Given numbers are 200,613,993,993,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,613,993,993,926 is 56366453400.
Find LCM of 200,613,993,993,926 with Prime Factorization
2 | 200, 613, 993, 993, 926 |
3 | 100, 613, 993, 993, 463 |
331 | 100, 613, 331, 331, 463 |
100, 613, 1, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 100 x 613 x 1 x 1 x 463 = 56366453400
Therefore, the lowest common multiple of 200,613,993,993,926 is 56366453400.
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 613 x 993 x 993 x 926 = 111943776452400
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
613 : 1, 613
993 : 1, 3, 331, 993
993 : 1, 3, 331, 993
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,613,993,993,926, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
613:613
993:3x 331
993:3x 331
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 331 = 1986
Therefore, the value for common factors is 1986.
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 = 111943776452400/(1x1986)
LCM = 111943776452400/1986
LCM = 56366453400
Thus, we can understand that the LCM of 200,613,993,993,926 is 56366453400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 613, 993, 993, 926?
Answer: LCM of 200, 613, 993, 993, 926 is 56366453400.
2. How to calculate the LCM of 200, 613, 993, 993, 926?
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, 613, 993, 993, 926.
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}.