Find the LCM of 515, 745, 610, 851 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 515, 745, 610, 851. So, keep reading to learn more.
Given numbers are 515,745,610,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,745,610,851 is 7966781170.
Find LCM of 515,745,610,851 with Prime Factorization
5 | 515, 745, 610, 851 |
103, 149, 122, 851 |
Multiply the prime numbers at the bottom and the left side.
5 x 103 x 149 x 122 x 851 = 7966781170
Therefore, the lowest common multiple of 515,745,610,851 is 7966781170.
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.
515 x 745 x 610 x 851 = 199169529250
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.
515 : 1, 5, 103, 515
745 : 1, 5, 149, 745
610 : 1, 2, 5, 10, 61, 122, 305, 610
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,745,610,851, is 1.
Now, the common factors can be found like this.
515:5x 103
745:5x 149
610:2x 5x 61
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 199169529250/(1x25)
LCM = 199169529250/25
LCM = 7966781170
Thus, we can understand that the LCM of 515,745,610,851 is 7966781170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 745, 610, 851?
Answer: LCM of 515, 745, 610, 851 is 7966781170.
2. How to calculate the LCM of 515, 745, 610, 851?
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 515, 745, 610, 851.
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}.