Find the LCM of 760, 443, 899, 713 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, 443, 899, 713. So, keep reading to learn more.
Given numbers are 760,443,899,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,443,899,713 is 6961532360.
Find LCM of 760,443,899,713 with Prime Factorization
31 | 760, 443, 899, 713 |
760, 443, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
31 x 760 x 443 x 29 x 23 = 6961532360
Therefore, the lowest common multiple of 760,443,899,713 is 6961532360.
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 443 x 899 x 713 = 215807503160
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
443 : 1, 443
899 : 1, 29, 31, 899
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,443,899,713, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
443:443
899:29x 31
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 215807503160/(1x31)
LCM = 215807503160/31
LCM = 6961532360
Thus, we can understand that the LCM of 760,443,899,713 is 6961532360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 443, 899, 713?
Answer: LCM of 760, 443, 899, 713 is 6961532360.
2. How to calculate the LCM of 760, 443, 899, 713?
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, 443, 899, 713.
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}.