Find the LCM of 299, 944, 137, 826 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 299, 944, 137, 826. So, keep reading to learn more.
Given numbers are 299,944,137,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,944,137,826 is 270683504.
Find LCM of 299,944,137,826 with Prime Factorization
2 | 299, 944, 137, 826 |
59 | 299, 472, 137, 413 |
299, 8, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 299 x 8 x 137 x 7 = 270683504
Therefore, the lowest common multiple of 299,944,137,826 is 270683504.
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.
299 x 944 x 137 x 826 = 31940653472
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.
299 : 1, 13, 23, 299
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
137 : 1, 137
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,944,137,826, is 1.
Now, the common factors can be found like this.
299:13x 23
944:2x 2x 2x 2x 59
137:137
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 59 = 118
Therefore, the value for common factors is 118.
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 = 31940653472/(1x118)
LCM = 31940653472/118
LCM = 270683504
Thus, we can understand that the LCM of 299,944,137,826 is 270683504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 944, 137, 826?
Answer: LCM of 299, 944, 137, 826 is 270683504.
2. How to calculate the LCM of 299, 944, 137, 826?
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 299, 944, 137, 826.
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}.