Find the LCM of 466, 746, 621, 834, 634 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 466, 746, 621, 834, 634. So, keep reading to learn more.
Given numbers are 466,746,621,834,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,746,621,834,634 is 4756203313614.
Find LCM of 466,746,621,834,634 with Prime Factorization
2 | 466, 746, 621, 834, 634 |
3 | 233, 373, 621, 417, 317 |
233, 373, 207, 139, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 373 x 207 x 139 x 317 = 4756203313614
Therefore, the lowest common multiple of 466,746,621,834,634 is 4756203313614.
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.
466 x 746 x 621 x 834 x 634 = 114148879526736
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.
466 : 1, 2, 233, 466
746 : 1, 2, 373, 746
621 : 1, 3, 9, 23, 27, 69, 207, 621
834 : 1, 2, 3, 6, 139, 278, 417, 834
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,746,621,834,634, is 1.
Now, the common factors can be found like this.
466:2x 233
746:2x 373
621:3x 3x 3x 23
834:2x 3x 139
634:2x 317
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 = 114148879526736/(1x24)
LCM = 114148879526736/24
LCM = 4756203313614
Thus, we can understand that the LCM of 466,746,621,834,634 is 4756203313614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 746, 621, 834, 634?
Answer: LCM of 466, 746, 621, 834, 634 is 4756203313614.
2. How to calculate the LCM of 466, 746, 621, 834, 634?
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 466, 746, 621, 834, 634.
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}.