Find the LCM of 608, 845, 130, 709 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 608, 845, 130, 709. So, keep reading to learn more.
Given numbers are 608,845,130,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,845,130,709 is 364255840.
Find LCM of 608,845,130,709 with Prime Factorization
2 | 608, 845, 130, 709 |
5 | 304, 845, 65, 709 |
13 | 304, 169, 13, 709 |
304, 1, 13, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 304 x 1 x 13 x 709 = 364255840
Therefore, the lowest common multiple of 608,845,130,709 is 364255840.
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.
608 x 845 x 130 x 709 = 47353259200
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
845 : 1, 5, 13, 65, 169, 845
130 : 1, 2, 5, 10, 13, 26, 65, 130
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,845,130,709, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
845:5x 13x 13
130:2x 5x 13
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 47353259200/(1x130)
LCM = 47353259200/130
LCM = 364255840
Thus, we can understand that the LCM of 608,845,130,709 is 364255840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 845, 130, 709?
Answer: LCM of 608, 845, 130, 709 is 364255840.
2. How to calculate the LCM of 608, 845, 130, 709?
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 608, 845, 130, 709.
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}.