Find the LCM of 772, 806, 828, 877, 743 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, 806, 828, 877, 743. So, keep reading to learn more.
Given numbers are 772,806,828,877,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,806,828,877,743 is 41964407830332.
Find LCM of 772,806,828,877,743 with Prime Factorization
2 | 772, 806, 828, 877, 743 |
2 | 386, 403, 414, 877, 743 |
193, 403, 207, 877, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 193 x 403 x 207 x 877 x 743 = 41964407830332
Therefore, the lowest common multiple of 772,806,828,877,743 is 41964407830332.
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 806 x 828 x 877 x 743 = 335715262642656
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
877 : 1, 877
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,806,828,877,743, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
806:2x 13x 31
828:2x 2x 3x 3x 23
877:877
743:743
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 2 = 8
Therefore, the value for common factors is 8.
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 = 335715262642656/(1x8)
LCM = 335715262642656/8
LCM = 41964407830332
Thus, we can understand that the LCM of 772,806,828,877,743 is 41964407830332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 806, 828, 877, 743?
Answer: LCM of 772, 806, 828, 877, 743 is 41964407830332.
2. How to calculate the LCM of 772, 806, 828, 877, 743?
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, 806, 828, 877, 743.
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}.