Find the LCM of 200, 408, 368, 862, 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, 408, 368, 862, 468. So, keep reading to learn more.
Given numbers are 200,408,368,862,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,408,368,862,468 is 7886782800.
Find LCM of 200,408,368,862,468 with Prime Factorization
2 | 200, 408, 368, 862, 468 |
2 | 100, 204, 184, 431, 234 |
2 | 50, 102, 92, 431, 117 |
3 | 25, 51, 46, 431, 117 |
25, 17, 46, 431, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 25 x 17 x 46 x 431 x 39 = 7886782800
Therefore, the lowest common multiple of 200,408,368,862,468 is 7886782800.
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 408 x 368 x 862 x 468 = 12114098380800
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
862 : 1, 2, 431, 862
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,408,368,862,468, is 2.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
408:2x 2x 2x 3x 17
368:2x 2x 2x 2x 23
862:2x 431
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 2x 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 12114098380800/(2x768)
LCM = 12114098380800/1536
LCM = 7886782800
Thus, we can understand that the LCM of 200,408,368,862,468 is 7886782800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 408, 368, 862, 468?
Answer: LCM of 200, 408, 368, 862, 468 is 7886782800.
2. How to calculate the LCM of 200, 408, 368, 862, 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, 408, 368, 862, 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}.