Find the LCM of 509, 422, 130, 659 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 509, 422, 130, 659. So, keep reading to learn more.
Given numbers are 509,422,130,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,422,130,659 is 9200872330.
Find LCM of 509,422,130,659 with Prime Factorization
2 | 509, 422, 130, 659 |
509, 211, 65, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 509 x 211 x 65 x 659 = 9200872330
Therefore, the lowest common multiple of 509,422,130,659 is 9200872330.
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.
509 x 422 x 130 x 659 = 18401744660
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.
509 : 1, 509
422 : 1, 2, 211, 422
130 : 1, 2, 5, 10, 13, 26, 65, 130
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,422,130,659, is 1.
Now, the common factors can be found like this.
509:509
422:2x 211
130:2x 5x 13
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 18401744660/(1x2)
LCM = 18401744660/2
LCM = 9200872330
Thus, we can understand that the LCM of 509,422,130,659 is 9200872330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 422, 130, 659?
Answer: LCM of 509, 422, 130, 659 is 9200872330.
2. How to calculate the LCM of 509, 422, 130, 659?
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 509, 422, 130, 659.
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}.