Find the LCM of 835, 819, 702, 483 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 835, 819, 702, 483. So, keep reading to learn more.
Given numbers are 835,819,702,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,819,702,483 is 94373370.
Find LCM of 835,819,702,483 with Prime Factorization
3 | 835, 819, 702, 483 |
3 | 835, 273, 234, 161 |
7 | 835, 91, 78, 161 |
13 | 835, 13, 78, 23 |
835, 1, 6, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 835 x 1 x 6 x 23 = 94373370
Therefore, the lowest common multiple of 835,819,702,483 is 94373370.
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.
835 x 819 x 702 x 483 = 231875370090
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.
835 : 1, 5, 167, 835
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,819,702,483, is 1.
Now, the common factors can be found like this.
835:5x 167
819:3x 3x 7x 13
702:2x 3x 3x 3x 13
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 13 = 2457
Therefore, the value for common factors is 2457.
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 = 231875370090/(1x2457)
LCM = 231875370090/2457
LCM = 94373370
Thus, we can understand that the LCM of 835,819,702,483 is 94373370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 819, 702, 483?
Answer: LCM of 835, 819, 702, 483 is 94373370.
2. How to calculate the LCM of 835, 819, 702, 483?
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 835, 819, 702, 483.
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}.