LCM of 790, 682, 649, 649, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 682, 649, 649, 257 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 790, 682, 649, 649, 257. So, keep reading to learn more.
Given numbers are 790,682,649,649,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,682,649,649,257 is 4084760570.
Find LCM of 790,682,649,649,257 with Prime Factorization
| 2 | 790, 682, 649, 649, 257 |
| 11 | 395, 341, 649, 649, 257 |
| 59 | 395, 31, 59, 59, 257 |
| 395, 31, 1, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 59 x 395 x 31 x 1 x 1 x 257 = 4084760570
Therefore, the lowest common multiple of 790,682,649,649,257 is 4084760570.
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.
790 x 682 x 649 x 649 x 257 = 58322211418460
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
682 : 1, 2, 11, 22, 31, 62, 341, 682
649 : 1, 11, 59, 649
649 : 1, 11, 59, 649
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,682,649,649,257, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
682:2x 11x 31
649:11x 59
649:11x 59
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 59 = 14278
Therefore, the value for common factors is 14278.
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 = 58322211418460/(1x14278)
LCM = 58322211418460/14278
LCM = 4084760570
Thus, we can understand that the LCM of 790,682,649,649,257 is 4084760570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 790, 682, 649, 649, 257
1. What is the LCM of 790, 682, 649, 649, 257?
Answer: LCM of 790, 682, 649, 649, 257 is 4084760570.
2. How to calculate the LCM of 790, 682, 649, 649, 257?
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 790, 682, 649, 649, 257.
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}.