LCM of 299, 944, 826, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 944, 826, 314 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, 826, 314. So, keep reading to learn more.
Given numbers are 299,944,826,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,944,826,314 is 310199344.
Find LCM of 299,944,826,314 with Prime Factorization
| 2 | 299, 944, 826, 314 |
| 59 | 299, 472, 413, 157 |
| 299, 8, 7, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 299 x 8 x 7 x 157 = 310199344
Therefore, the lowest common multiple of 299,944,826,314 is 310199344.
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 826 x 314 = 73207045184
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
826 : 1, 2, 7, 14, 59, 118, 413, 826
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,944,826,314, is 1.
Now, the common factors can be found like this.
299:13x 23
944:2x 2x 2x 2x 59
826:2x 7x 59
314:2x 157
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 59 = 236
Therefore, the value for common factors is 236.
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 = 73207045184/(1x236)
LCM = 73207045184/236
LCM = 310199344
Thus, we can understand that the LCM of 299,944,826,314 is 310199344.
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FAQs on LCM of 299, 944, 826, 314
1. What is the LCM of 299, 944, 826, 314?
Answer: LCM of 299, 944, 826, 314 is 310199344.
2. How to calculate the LCM of 299, 944, 826, 314?
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, 826, 314.
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}.