Find the LCM of 814, 981, 509, 410, 763 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 814, 981, 509, 410, 763. So, keep reading to learn more.
Given numbers are 814,981,509,410,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,981,509,410,763 is 583261211610.
Find LCM of 814,981,509,410,763 with Prime Factorization
2 | 814, 981, 509, 410, 763 |
109 | 407, 981, 509, 205, 763 |
407, 9, 509, 205, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 407 x 9 x 509 x 205 x 7 = 583261211610
Therefore, the lowest common multiple of 814,981,509,410,763 is 583261211610.
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.
814 x 981 x 509 x 410 x 763 = 127150944130980
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
981 : 1, 3, 9, 109, 327, 981
509 : 1, 509
410 : 1, 2, 5, 10, 41, 82, 205, 410
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,981,509,410,763, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
981:3x 3x 109
509:509
410:2x 5x 41
763:7x 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 109 = 218
Therefore, the value for common factors is 218.
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 = 127150944130980/(1x218)
LCM = 127150944130980/218
LCM = 583261211610
Thus, we can understand that the LCM of 814,981,509,410,763 is 583261211610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 981, 509, 410, 763?
Answer: LCM of 814, 981, 509, 410, 763 is 583261211610.
2. How to calculate the LCM of 814, 981, 509, 410, 763?
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 814, 981, 509, 410, 763.
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}.