Find the LCM of 836, 873, 399, 974 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 836, 873, 399, 974. So, keep reading to learn more.
Given numbers are 836,873,399,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,873,399,974 is 2487983652.
Find LCM of 836,873,399,974 with Prime Factorization
2 | 836, 873, 399, 974 |
3 | 418, 873, 399, 487 |
19 | 418, 291, 133, 487 |
22, 291, 7, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 22 x 291 x 7 x 487 = 2487983652
Therefore, the lowest common multiple of 836,873,399,974 is 2487983652.
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.
836 x 873 x 399 x 974 = 283630136328
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
873 : 1, 3, 9, 97, 291, 873
399 : 1, 3, 7, 19, 21, 57, 133, 399
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,873,399,974, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
873:3x 3x 97
399:3x 7x 19
974:2x 487
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 19 = 114
Therefore, the value for common factors is 114.
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 = 283630136328/(1x114)
LCM = 283630136328/114
LCM = 2487983652
Thus, we can understand that the LCM of 836,873,399,974 is 2487983652.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 873, 399, 974?
Answer: LCM of 836, 873, 399, 974 is 2487983652.
2. How to calculate the LCM of 836, 873, 399, 974?
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 836, 873, 399, 974.
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}.