Find the LCM of 302, 530, 857, 690, 122 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 302, 530, 857, 690, 122. So, keep reading to learn more.
Given numbers are 302,530,857,690,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,530,857,690,122 is 288677253390.
Find LCM of 302,530,857,690,122 with Prime Factorization
2 | 302, 530, 857, 690, 122 |
5 | 151, 265, 857, 345, 61 |
151, 53, 857, 69, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 53 x 857 x 69 x 61 = 288677253390
Therefore, the lowest common multiple of 302,530,857,690,122 is 288677253390.
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.
302 x 530 x 857 x 690 x 122 = 11547090135600
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.
302 : 1, 2, 151, 302
530 : 1, 2, 5, 10, 53, 106, 265, 530
857 : 1, 857
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,530,857,690,122, is 1.
Now, the common factors can be found like this.
302:2x 151
530:2x 5x 53
857:857
690:2x 3x 5x 23
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 11547090135600/(1x40)
LCM = 11547090135600/40
LCM = 288677253390
Thus, we can understand that the LCM of 302,530,857,690,122 is 288677253390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 530, 857, 690, 122?
Answer: LCM of 302, 530, 857, 690, 122 is 288677253390.
2. How to calculate the LCM of 302, 530, 857, 690, 122?
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 302, 530, 857, 690, 122.
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}.