Find the LCM of 772, 583, 762, 768, 841 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 772, 583, 762, 768, 841. So, keep reading to learn more.
Given numbers are 772,583,762,768,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,583,762,768,841 is 9229683327744.
Find LCM of 772,583,762,768,841 with Prime Factorization
2 | 772, 583, 762, 768, 841 |
2 | 386, 583, 381, 384, 841 |
3 | 193, 583, 381, 192, 841 |
193, 583, 127, 64, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 583 x 127 x 64 x 841 = 9229683327744
Therefore, the lowest common multiple of 772,583,762,768,841 is 9229683327744.
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.
772 x 583 x 762 x 768 x 841 = 221512399865856
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.
772 : 1, 2, 4, 193, 386, 772
583 : 1, 11, 53, 583
762 : 1, 2, 3, 6, 127, 254, 381, 762
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,583,762,768,841, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
583:11x 53
762:2x 3x 127
768:2x 2x 2x 2x 2x 2x 2x 2x 3
841:29x 29
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 3 = 24
Therefore, the value for common factors is 24.
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 = 221512399865856/(1x24)
LCM = 221512399865856/24
LCM = 9229683327744
Thus, we can understand that the LCM of 772,583,762,768,841 is 9229683327744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 583, 762, 768, 841?
Answer: LCM of 772, 583, 762, 768, 841 is 9229683327744.
2. How to calculate the LCM of 772, 583, 762, 768, 841?
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 772, 583, 762, 768, 841.
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}.