Find the LCM of 976, 883, 810, 645 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 976, 883, 810, 645. So, keep reading to learn more.
Given numbers are 976,883,810,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,883,810,645 is 15008386320.
Find LCM of 976,883,810,645 with Prime Factorization
2 | 976, 883, 810, 645 |
3 | 488, 883, 405, 645 |
5 | 488, 883, 135, 215 |
488, 883, 27, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 488 x 883 x 27 x 43 = 15008386320
Therefore, the lowest common multiple of 976,883,810,645 is 15008386320.
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.
976 x 883 x 810 x 645 = 450251589600
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
883 : 1, 883
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,883,810,645, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
883:883
810:2x 3x 3x 3x 3x 5
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 450251589600/(1x30)
LCM = 450251589600/30
LCM = 15008386320
Thus, we can understand that the LCM of 976,883,810,645 is 15008386320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 976, 883, 810, 645?
Answer: LCM of 976, 883, 810, 645 is 15008386320.
2. How to calculate the LCM of 976, 883, 810, 645?
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 976, 883, 810, 645.
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}.