Find the LCM of 513, 858, 430, 135, 130 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 513, 858, 430, 135, 130. So, keep reading to learn more.
Given numbers are 513,858,430,135,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,858,430,135,130 is 31544370.
Find LCM of 513,858,430,135,130 with Prime Factorization
2 | 513, 858, 430, 135, 130 |
3 | 513, 429, 215, 135, 65 |
3 | 171, 143, 215, 45, 65 |
3 | 57, 143, 215, 15, 65 |
5 | 19, 143, 215, 5, 65 |
13 | 19, 143, 43, 1, 13 |
19, 11, 43, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 13 x 19 x 11 x 43 x 1 x 1 = 31544370
Therefore, the lowest common multiple of 513,858,430,135,130 is 31544370.
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.
513 x 858 x 430 x 135 x 130 = 3321622161000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
430 : 1, 2, 5, 10, 43, 86, 215, 430
135 : 1, 3, 5, 9, 15, 27, 45, 135
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,858,430,135,130, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
858:2x 3x 11x 13
430:2x 5x 43
135:3x 3x 3x 5
130:2x 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 2x 3x 3x 3x 3x 5x 5x 13 = 105300
Therefore, the value for common factors is 105300.
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 = 3321622161000/(1x105300)
LCM = 3321622161000/105300
LCM = 31544370
Thus, we can understand that the LCM of 513,858,430,135,130 is 31544370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 858, 430, 135, 130?
Answer: LCM of 513, 858, 430, 135, 130 is 31544370.
2. How to calculate the LCM of 513, 858, 430, 135, 130?
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 513, 858, 430, 135, 130.
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}.