Find the LCM of 200, 403, 829, 676, 468 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, 403, 829, 676, 468. So, keep reading to learn more.
Given numbers are 200,403,829,676,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,403,829,676,468 is 7817635800.
Find LCM of 200,403,829,676,468 with Prime Factorization
2 | 200, 403, 829, 676, 468 |
2 | 100, 403, 829, 338, 234 |
13 | 50, 403, 829, 169, 117 |
50, 31, 829, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 50 x 31 x 829 x 13 x 9 = 7817635800
Therefore, the lowest common multiple of 200,403,829,676,468 is 7817635800.
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 403 x 829 x 676 x 468 = 21138887203200
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
403 : 1, 13, 31, 403
829 : 1, 829
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,403,829,676,468, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
403:13x 31
829:829
676:2x 2x 13x 13
468:2x 2x 3x 3x 13
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 21138887203200/(1x2704)
LCM = 21138887203200/2704
LCM = 7817635800
Thus, we can understand that the LCM of 200,403,829,676,468 is 7817635800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 403, 829, 676, 468?
Answer: LCM of 200, 403, 829, 676, 468 is 7817635800.
2. How to calculate the LCM of 200, 403, 829, 676, 468?
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, 403, 829, 676, 468.
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}.