Find the LCM of 717, 782, 381, 521 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 717, 782, 381, 521. So, keep reading to learn more.
Given numbers are 717,782,381,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,782,381,521 is 37099439898.
Find LCM of 717,782,381,521 with Prime Factorization
3 | 717, 782, 381, 521 |
239, 782, 127, 521 |
Multiply the prime numbers at the bottom and the left side.
3 x 239 x 782 x 127 x 521 = 37099439898
Therefore, the lowest common multiple of 717,782,381,521 is 37099439898.
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.
717 x 782 x 381 x 521 = 111298319694
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.
717 : 1, 3, 239, 717
782 : 1, 2, 17, 23, 34, 46, 391, 782
381 : 1, 3, 127, 381
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,782,381,521, is 1.
Now, the common factors can be found like this.
717:3x 239
782:2x 17x 23
381:3x 127
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 111298319694/(1x3)
LCM = 111298319694/3
LCM = 37099439898
Thus, we can understand that the LCM of 717,782,381,521 is 37099439898.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 782, 381, 521?
Answer: LCM of 717, 782, 381, 521 is 37099439898.
2. How to calculate the LCM of 717, 782, 381, 521?
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 717, 782, 381, 521.
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}.