Find the LCM of 760, 501, 323, 610 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 760, 501, 323, 610. So, keep reading to learn more.
Given numbers are 760,501,323,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,501,323,610 is 394848120.
Find LCM of 760,501,323,610 with Prime Factorization
2 | 760, 501, 323, 610 |
5 | 380, 501, 323, 305 |
19 | 76, 501, 323, 61 |
4, 501, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 4 x 501 x 17 x 61 = 394848120
Therefore, the lowest common multiple of 760,501,323,610 is 394848120.
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.
760 x 501 x 323 x 610 = 75021142800
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
501 : 1, 3, 167, 501
323 : 1, 17, 19, 323
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,501,323,610, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
501:3x 167
323:17x 19
610:2x 5x 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 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 75021142800/(1x190)
LCM = 75021142800/190
LCM = 394848120
Thus, we can understand that the LCM of 760,501,323,610 is 394848120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 501, 323, 610?
Answer: LCM of 760, 501, 323, 610 is 394848120.
2. How to calculate the LCM of 760, 501, 323, 610?
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 760, 501, 323, 610.
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}.