Find the LCM of 861, 813, 767, 997, 409 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 861, 813, 767, 997, 409. So, keep reading to learn more.
Given numbers are 861,813,767,997,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,813,767,997,409 is 72977044788921.
Find LCM of 861,813,767,997,409 with Prime Factorization
3 | 861, 813, 767, 997, 409 |
287, 271, 767, 997, 409 |
Multiply the prime numbers at the bottom and the left side.
3 x 287 x 271 x 767 x 997 x 409 = 72977044788921
Therefore, the lowest common multiple of 861,813,767,997,409 is 72977044788921.
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.
861 x 813 x 767 x 997 x 409 = 218931134366763
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
813 : 1, 3, 271, 813
767 : 1, 13, 59, 767
997 : 1, 997
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,813,767,997,409, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
813:3x 271
767:13x 59
997:997
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 218931134366763/(1x3)
LCM = 218931134366763/3
LCM = 72977044788921
Thus, we can understand that the LCM of 861,813,767,997,409 is 72977044788921.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 813, 767, 997, 409?
Answer: LCM of 861, 813, 767, 997, 409 is 72977044788921.
2. How to calculate the LCM of 861, 813, 767, 997, 409?
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 861, 813, 767, 997, 409.
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}.