Find the LCM of 826, 861, 836, 454, 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 826, 861, 836, 454, 723. So, keep reading to learn more.
Given numbers are 826,861,836,454,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,861,836,454,723 is 2323294906548.
Find LCM of 826,861,836,454,723 with Prime Factorization
2 | 826, 861, 836, 454, 723 |
3 | 413, 861, 418, 227, 723 |
7 | 413, 287, 418, 227, 241 |
59, 41, 418, 227, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 41 x 418 x 227 x 241 = 2323294906548
Therefore, the lowest common multiple of 826,861,836,454,723 is 2323294906548.
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.
826 x 861 x 836 x 454 x 723 = 195156772150032
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
861 : 1, 3, 7, 21, 41, 123, 287, 861
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
454 : 1, 2, 227, 454
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,861,836,454,723, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
861:3x 7x 41
836:2x 2x 11x 19
454:2x 227
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 2x 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 195156772150032/(1x84)
LCM = 195156772150032/84
LCM = 2323294906548
Thus, we can understand that the LCM of 826,861,836,454,723 is 2323294906548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 826, 861, 836, 454, 723?
Answer: LCM of 826, 861, 836, 454, 723 is 2323294906548.
2. How to calculate the LCM of 826, 861, 836, 454, 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 826, 861, 836, 454, 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}.