Find the LCM of 798, 716, 754, 806, 109 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 798, 716, 754, 806, 109. So, keep reading to learn more.
Given numbers are 798,716,754,806,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,716,754,806,109 is 363927990972.
Find LCM of 798,716,754,806,109 with Prime Factorization
2 | 798, 716, 754, 806, 109 |
13 | 399, 358, 377, 403, 109 |
399, 358, 29, 31, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 399 x 358 x 29 x 31 x 109 = 363927990972
Therefore, the lowest common multiple of 798,716,754,806,109 is 363927990972.
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.
798 x 716 x 754 x 806 x 109 = 37848511061088
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
716 : 1, 2, 4, 179, 358, 716
754 : 1, 2, 13, 26, 29, 58, 377, 754
806 : 1, 2, 13, 26, 31, 62, 403, 806
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,716,754,806,109, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
716:2x 2x 179
754:2x 13x 29
806:2x 13x 31
109:109
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 37848511061088/(1x104)
LCM = 37848511061088/104
LCM = 363927990972
Thus, we can understand that the LCM of 798,716,754,806,109 is 363927990972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 716, 754, 806, 109?
Answer: LCM of 798, 716, 754, 806, 109 is 363927990972.
2. How to calculate the LCM of 798, 716, 754, 806, 109?
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 798, 716, 754, 806, 109.
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}.