Find the LCM of 775, 114, 979, 762, 910 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 775, 114, 979, 762, 910. So, keep reading to learn more.
Given numbers are 775,114,979,762,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,114,979,762,910 is 999618670050.
Find LCM of 775,114,979,762,910 with Prime Factorization
2 | 775, 114, 979, 762, 910 |
3 | 775, 57, 979, 381, 455 |
5 | 775, 19, 979, 127, 455 |
155, 19, 979, 127, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 155 x 19 x 979 x 127 x 91 = 999618670050
Therefore, the lowest common multiple of 775,114,979,762,910 is 999618670050.
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.
775 x 114 x 979 x 762 x 910 = 59977120203000
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.
775 : 1, 5, 25, 31, 155, 775
114 : 1, 2, 3, 6, 19, 38, 57, 114
979 : 1, 11, 89, 979
762 : 1, 2, 3, 6, 127, 254, 381, 762
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,114,979,762,910, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
114:2x 3x 19
979:11x 89
762:2x 3x 127
910:2x 5x 7x 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 5 = 60
Therefore, the value for common factors is 60.
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 = 59977120203000/(1x60)
LCM = 59977120203000/60
LCM = 999618670050
Thus, we can understand that the LCM of 775,114,979,762,910 is 999618670050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 114, 979, 762, 910?
Answer: LCM of 775, 114, 979, 762, 910 is 999618670050.
2. How to calculate the LCM of 775, 114, 979, 762, 910?
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 775, 114, 979, 762, 910.
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}.