Find the LCM of 774, 519, 888, 762, 508 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 774, 519, 888, 762, 508. So, keep reading to learn more.
Given numbers are 774,519,888,762,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,519,888,762,508 is 2516821992.
Find LCM of 774,519,888,762,508 with Prime Factorization
2 | 774, 519, 888, 762, 508 |
2 | 387, 519, 444, 381, 254 |
3 | 387, 519, 222, 381, 127 |
127 | 129, 173, 74, 127, 127 |
129, 173, 74, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 129 x 173 x 74 x 1 x 1 = 2516821992
Therefore, the lowest common multiple of 774,519,888,762,508 is 2516821992.
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.
774 x 519 x 888 x 762 x 508 = 138082921769088
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
519 : 1, 3, 173, 519
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
762 : 1, 2, 3, 6, 127, 254, 381, 762
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,519,888,762,508, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
519:3x 173
888:2x 2x 2x 3x 37
762:2x 3x 127
508:2x 2x 127
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 2x 3x 3x 3x 127 = 54864
Therefore, the value for common factors is 54864.
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 = 138082921769088/(1x54864)
LCM = 138082921769088/54864
LCM = 2516821992
Thus, we can understand that the LCM of 774,519,888,762,508 is 2516821992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 774, 519, 888, 762, 508?
Answer: LCM of 774, 519, 888, 762, 508 is 2516821992.
2. How to calculate the LCM of 774, 519, 888, 762, 508?
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 774, 519, 888, 762, 508.
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}.