Find the LCM of 717, 762, 715, 902, 218 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 717, 762, 715, 902, 218. So, keep reading to learn more.
Given numbers are 717,762,715,902,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,762,715,902,218 is 581928019530.
Find LCM of 717,762,715,902,218 with Prime Factorization
2 | 717, 762, 715, 902, 218 |
3 | 717, 381, 715, 451, 109 |
11 | 239, 127, 715, 451, 109 |
239, 127, 65, 41, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 239 x 127 x 65 x 41 x 109 = 581928019530
Therefore, the lowest common multiple of 717,762,715,902,218 is 581928019530.
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.
717 x 762 x 715 x 902 x 218 = 76814498577960
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.
717 : 1, 3, 239, 717
762 : 1, 2, 3, 6, 127, 254, 381, 762
715 : 1, 5, 11, 13, 55, 65, 143, 715
902 : 1, 2, 11, 22, 41, 82, 451, 902
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,762,715,902,218, is 1.
Now, the common factors can be found like this.
717:3x 239
762:2x 3x 127
715:5x 11x 13
902:2x 11x 41
218:2x 109
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 11 = 132
Therefore, the value for common factors is 132.
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 = 76814498577960/(1x132)
LCM = 76814498577960/132
LCM = 581928019530
Thus, we can understand that the LCM of 717,762,715,902,218 is 581928019530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 762, 715, 902, 218?
Answer: LCM of 717, 762, 715, 902, 218 is 581928019530.
2. How to calculate the LCM of 717, 762, 715, 902, 218?
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 717, 762, 715, 902, 218.
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}.