Find the LCM of 777, 649, 770, 808, 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 777, 649, 770, 808, 109. So, keep reading to learn more.
Given numbers are 777,649,770,808,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,649,770,808,109 is 222061658280.
Find LCM of 777,649,770,808,109 with Prime Factorization
2 | 777, 649, 770, 808, 109 |
7 | 777, 649, 385, 404, 109 |
11 | 111, 649, 55, 404, 109 |
111, 59, 5, 404, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 111 x 59 x 5 x 404 x 109 = 222061658280
Therefore, the lowest common multiple of 777,649,770,808,109 is 222061658280.
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.
777 x 649 x 770 x 808 x 109 = 34197495375120
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
649 : 1, 11, 59, 649
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
808 : 1, 2, 4, 8, 101, 202, 404, 808
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,649,770,808,109, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
649:11x 59
770:2x 5x 7x 11
808:2x 2x 2x 101
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 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 34197495375120/(1x154)
LCM = 34197495375120/154
LCM = 222061658280
Thus, we can understand that the LCM of 777,649,770,808,109 is 222061658280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 777, 649, 770, 808, 109?
Answer: LCM of 777, 649, 770, 808, 109 is 222061658280.
2. How to calculate the LCM of 777, 649, 770, 808, 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 777, 649, 770, 808, 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}.