Find the LCM of 283, 468, 507, 835, 390 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 283, 468, 507, 835, 390. So, keep reading to learn more.
Given numbers are 283,468,507,835,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,468,507,835,390 is 1437679620.
Find LCM of 283,468,507,835,390 with Prime Factorization
2 | 283, 468, 507, 835, 390 |
3 | 283, 234, 507, 835, 195 |
5 | 283, 78, 169, 835, 65 |
13 | 283, 78, 169, 167, 13 |
283, 6, 1, 167, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 283 x 6 x 1 x 167 x 13 = 1437679620
Therefore, the lowest common multiple of 283,468,507,835,390 is 1437679620.
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.
283 x 468 x 507 x 835 x 390 = 21867107020200
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.
283 : 1, 283
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
507 : 1, 3, 13, 39, 169, 507
835 : 1, 5, 167, 835
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,468,507,835,390, is 1.
Now, the common factors can be found like this.
283:283
468:2x 2x 3x 3x 13
507:3x 13x 13
835:5x 167
390:2x 3x 5x 13
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 5x 13x 13 = 15210
Therefore, the value for common factors is 15210.
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 = 21867107020200/(1x15210)
LCM = 21867107020200/15210
LCM = 1437679620
Thus, we can understand that the LCM of 283,468,507,835,390 is 1437679620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 468, 507, 835, 390?
Answer: LCM of 283, 468, 507, 835, 390 is 1437679620.
2. How to calculate the LCM of 283, 468, 507, 835, 390?
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 283, 468, 507, 835, 390.
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}.