Find the LCM of 778, 826, 289, 590 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 778, 826, 289, 590. So, keep reading to learn more.
Given numbers are 778,826,289,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,826,289,590 is 464298730.
Find LCM of 778,826,289,590 with Prime Factorization
2 | 778, 826, 289, 590 |
59 | 389, 413, 289, 295 |
389, 7, 289, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 389 x 7 x 289 x 5 = 464298730
Therefore, the lowest common multiple of 778,826,289,590 is 464298730.
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.
778 x 826 x 289 x 590 = 109574500280
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.
778 : 1, 2, 389, 778
826 : 1, 2, 7, 14, 59, 118, 413, 826
289 : 1, 17, 289
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,826,289,590, is 1.
Now, the common factors can be found like this.
778:2x 389
826:2x 7x 59
289:17x 17
590:2x 5x 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 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 = 109574500280/(1x236)
LCM = 109574500280/236
LCM = 464298730
Thus, we can understand that the LCM of 778,826,289,590 is 464298730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 778, 826, 289, 590?
Answer: LCM of 778, 826, 289, 590 is 464298730.
2. How to calculate the LCM of 778, 826, 289, 590?
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 778, 826, 289, 590.
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}.