Find the LCM of 926, 777, 814, 187, 723 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 926, 777, 814, 187, 723. So, keep reading to learn more.
Given numbers are 926,777,814,187,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,777,814,187,723 is 32425796634.
Find LCM of 926,777,814,187,723 with Prime Factorization
2 | 926, 777, 814, 187, 723 |
3 | 463, 777, 407, 187, 723 |
11 | 463, 259, 407, 187, 241 |
37 | 463, 259, 37, 17, 241 |
463, 7, 1, 17, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 463 x 7 x 1 x 17 x 241 = 32425796634
Therefore, the lowest common multiple of 926,777,814,187,723 is 32425796634.
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.
926 x 777 x 814 x 187 x 723 = 79183795380228
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.
926 : 1, 2, 463, 926
777 : 1, 3, 7, 21, 37, 111, 259, 777
814 : 1, 2, 11, 22, 37, 74, 407, 814
187 : 1, 11, 17, 187
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,777,814,187,723, is 1.
Now, the common factors can be found like this.
926:2x 463
777:3x 7x 37
814:2x 11x 37
187:11x 17
723:3x 241
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 11x 37 = 2442
Therefore, the value for common factors is 2442.
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 = 79183795380228/(1x2442)
LCM = 79183795380228/2442
LCM = 32425796634
Thus, we can understand that the LCM of 926,777,814,187,723 is 32425796634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 777, 814, 187, 723?
Answer: LCM of 926, 777, 814, 187, 723 is 32425796634.
2. How to calculate the LCM of 926, 777, 814, 187, 723?
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 926, 777, 814, 187, 723.
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}.