Find the LCM of 772, 908, 990, 770 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 772, 908, 990, 770. So, keep reading to learn more.
Given numbers are 772,908,990,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,908,990,770 is 607220460.
Find LCM of 772,908,990,770 with Prime Factorization
2 | 772, 908, 990, 770 |
2 | 386, 454, 495, 385 |
5 | 193, 227, 495, 385 |
11 | 193, 227, 99, 77 |
193, 227, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 193 x 227 x 9 x 7 = 607220460
Therefore, the lowest common multiple of 772,908,990,770 is 607220460.
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.
772 x 908 x 990 x 770 = 534354004800
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.
772 : 1, 2, 4, 193, 386, 772
908 : 1, 2, 4, 227, 454, 908
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,908,990,770, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
908:2x 2x 227
990:2x 3x 3x 5x 11
770:2x 5x 7x 11
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 534354004800/(2x440)
LCM = 534354004800/880
LCM = 607220460
Thus, we can understand that the LCM of 772,908,990,770 is 607220460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 908, 990, 770?
Answer: LCM of 772, 908, 990, 770 is 607220460.
2. How to calculate the LCM of 772, 908, 990, 770?
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 772, 908, 990, 770.
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}.