Find the LCM of 926, 268, 820, 268, 568 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 926, 268, 820, 268, 568. So, keep reading to learn more.
Given numbers are 926,268,820,268,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,268,820,268,568 is 3612085240.
Find LCM of 926,268,820,268,568 with Prime Factorization
2 | 926, 268, 820, 268, 568 |
2 | 463, 134, 410, 134, 284 |
67 | 463, 67, 205, 67, 142 |
463, 1, 205, 1, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 463 x 1 x 205 x 1 x 142 = 3612085240
Therefore, the lowest common multiple of 926,268,820,268,568 is 3612085240.
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.
926 x 268 x 820 x 268 x 568 = 30977243018240
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.
926 : 1, 2, 463, 926
268 : 1, 2, 4, 67, 134, 268
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
268 : 1, 2, 4, 67, 134, 268
568 : 1, 2, 4, 8, 71, 142, 284, 568
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,268,820,268,568, is 2.
Now, the common factors can be found like this.
926:2x 463
268:2x 2x 67
820:2x 2x 5x 41
268:2x 2x 67
568:2x 2x 2x 71
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 67 = 4288
Therefore, the value for common factors is 4288.
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 = 30977243018240/(2x4288)
LCM = 30977243018240/8576
LCM = 3612085240
Thus, we can understand that the LCM of 926,268,820,268,568 is 3612085240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 268, 820, 268, 568?
Answer: LCM of 926, 268, 820, 268, 568 is 3612085240.
2. How to calculate the LCM of 926, 268, 820, 268, 568?
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 926, 268, 820, 268, 568.
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}.