Find the LCM of 873, 382, 694, 694, 836 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 873, 382, 694, 694, 836. So, keep reading to learn more.
Given numbers are 873,382,694,694,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,382,694,694,836 is 48370810356.
Find LCM of 873,382,694,694,836 with Prime Factorization
2 | 873, 382, 694, 694, 836 |
347 | 873, 191, 347, 347, 418 |
873, 191, 1, 1, 418 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 873 x 191 x 1 x 1 x 418 = 48370810356
Therefore, the lowest common multiple of 873,382,694,694,836 is 48370810356.
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.
873 x 382 x 694 x 694 x 836 = 134277369548256
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.
873 : 1, 3, 9, 97, 291, 873
382 : 1, 2, 191, 382
694 : 1, 2, 347, 694
694 : 1, 2, 347, 694
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,382,694,694,836, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
382:2x 191
694:2x 347
694:2x 347
836:2x 2x 11x 19
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 347 = 2776
Therefore, the value for common factors is 2776.
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 = 134277369548256/(1x2776)
LCM = 134277369548256/2776
LCM = 48370810356
Thus, we can understand that the LCM of 873,382,694,694,836 is 48370810356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 873, 382, 694, 694, 836?
Answer: LCM of 873, 382, 694, 694, 836 is 48370810356.
2. How to calculate the LCM of 873, 382, 694, 694, 836?
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 873, 382, 694, 694, 836.
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}.