Find the LCM of 484, 883, 417, 693, 834 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 484, 883, 417, 693, 834. So, keep reading to learn more.
Given numbers are 484,883,417,693,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,883,417,693,834 is 3742496604.
Find LCM of 484,883,417,693,834 with Prime Factorization
2 | 484, 883, 417, 693, 834 |
3 | 242, 883, 417, 693, 417 |
11 | 242, 883, 139, 231, 139 |
139 | 22, 883, 139, 21, 139 |
22, 883, 1, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 139 x 22 x 883 x 1 x 21 x 1 = 3742496604
Therefore, the lowest common multiple of 484,883,417,693,834 is 3742496604.
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.
484 x 883 x 417 x 693 x 834 = 103000991535288
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
883 : 1, 883
417 : 1, 3, 139, 417
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,883,417,693,834, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
883:883
417:3x 139
693:3x 3x 7x 11
834:2x 3x 139
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 3x 11x 139 = 27522
Therefore, the value for common factors is 27522.
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 = 103000991535288/(1x27522)
LCM = 103000991535288/27522
LCM = 3742496604
Thus, we can understand that the LCM of 484,883,417,693,834 is 3742496604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 883, 417, 693, 834?
Answer: LCM of 484, 883, 417, 693, 834 is 3742496604.
2. How to calculate the LCM of 484, 883, 417, 693, 834?
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 484, 883, 417, 693, 834.
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}.