Find the LCM of 731, 206, 675, 879, 418 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 731, 206, 675, 879, 418. So, keep reading to learn more.
Given numbers are 731,206,675,879,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,206,675,879,418 is 6224468545350.
Find LCM of 731,206,675,879,418 with Prime Factorization
2 | 731, 206, 675, 879, 418 |
3 | 731, 103, 675, 879, 209 |
731, 103, 225, 293, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 731 x 103 x 225 x 293 x 209 = 6224468545350
Therefore, the lowest common multiple of 731,206,675,879,418 is 6224468545350.
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.
731 x 206 x 675 x 879 x 418 = 37346811272100
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.
731 : 1, 17, 43, 731
206 : 1, 2, 103, 206
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
879 : 1, 3, 293, 879
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,206,675,879,418, is 1.
Now, the common factors can be found like this.
731:17x 43
206:2x 103
675:3x 3x 3x 5x 5
879:3x 293
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 37346811272100/(1x6)
LCM = 37346811272100/6
LCM = 6224468545350
Thus, we can understand that the LCM of 731,206,675,879,418 is 6224468545350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 206, 675, 879, 418?
Answer: LCM of 731, 206, 675, 879, 418 is 6224468545350.
2. How to calculate the LCM of 731, 206, 675, 879, 418?
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 731, 206, 675, 879, 418.
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}.