Find the LCM of 709, 327, 981, 363 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 709, 327, 981, 363. So, keep reading to learn more.
Given numbers are 709,327,981,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,327,981,363 is 84159009.
Find LCM of 709,327,981,363 with Prime Factorization
3 | 709, 327, 981, 363 |
109 | 709, 109, 327, 121 |
709, 1, 3, 121 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 709 x 1 x 3 x 121 = 84159009
Therefore, the lowest common multiple of 709,327,981,363 is 84159009.
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.
709 x 327 x 981 x 363 = 82559987829
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.
709 : 1, 709
327 : 1, 3, 109, 327
981 : 1, 3, 9, 109, 327, 981
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,327,981,363, is 1.
Now, the common factors can be found like this.
709:709
327:3x 109
981:3x 3x 109
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 109 = 981
Therefore, the value for common factors is 981.
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 = 82559987829/(1x981)
LCM = 82559987829/981
LCM = 84159009
Thus, we can understand that the LCM of 709,327,981,363 is 84159009.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 327, 981, 363?
Answer: LCM of 709, 327, 981, 363 is 84159009.
2. How to calculate the LCM of 709, 327, 981, 363?
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 709, 327, 981, 363.
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}.