Find the LCM of 747, 398, 913, 469, 833 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 747, 398, 913, 469, 833. So, keep reading to learn more.
Given numbers are 747,398,913,469,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,398,913,469,833 is 182522396826.
Find LCM of 747,398,913,469,833 with Prime Factorization
7 | 747, 398, 913, 469, 833 |
83 | 747, 398, 913, 67, 119 |
9, 398, 11, 67, 119 |
Multiply the prime numbers at the bottom and the left side.
7 x 83 x 9 x 398 x 11 x 67 x 119 = 182522396826
Therefore, the lowest common multiple of 747,398,913,469,833 is 182522396826.
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.
747 x 398 x 913 x 469 x 833 = 106045512555906
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.
747 : 1, 3, 9, 83, 249, 747
398 : 1, 2, 199, 398
913 : 1, 11, 83, 913
469 : 1, 7, 67, 469
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,398,913,469,833, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
398:2x 199
913:11x 83
469:7x 67
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 83 = 581
Therefore, the value for common factors is 581.
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 = 106045512555906/(1x581)
LCM = 106045512555906/581
LCM = 182522396826
Thus, we can understand that the LCM of 747,398,913,469,833 is 182522396826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 398, 913, 469, 833?
Answer: LCM of 747, 398, 913, 469, 833 is 182522396826.
2. How to calculate the LCM of 747, 398, 913, 469, 833?
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 747, 398, 913, 469, 833.
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}.